Questions on Algebra: Sequences of numbers, series and how to sum them answered by real tutors!

Tutors Answer Your Questions about Sequences-and-series (FREE)

Question 981630: ``1. A new square is formed by joining the midpoints of the consecutive
sides of a square 8 inches on a side. If the process is continued until
there are already six squares, find the sum of the areas of all squares
in square inches.

Click here to see answer by solver91311(24713)

Question 981552: 1) If alfa,beta are real and alfa square,-beta square are the roots of the equation a2x2+x+(1-a2)=0,a>1,then beta square=_________
2)If (1-p) is aroot of a qadratic equation x2+px+(1-p)=0,then its roots are______
Click here to see answer by josgarithmetic(39617)

Question 981788: .Find k so that the numbers 2k+1, 3k+4, and 7k+6 form a geometric
sequence

Click here to see answer by jim_thompson5910(35256)

Question 981789: .During a free-fall, a skydiver jumps 16 feet, 48 feet, and 80 feet on the
first, second, and third fall, respectively. If he continues to jump at this
rate, how many feet will he have jumped during the tenth fall?
Click here to see answer by macston(5194)

Question 981786: Glenn bought a car for Php600,000. The yearly depreciation of his car is
10% of its value at the start of the year. What is its value after 4 years?
Click here to see answer by Cromlix(4381)

Question 981790: Twelve days before Valentine�s Day, Carl decided to give Nicole
flowers according to the Fibonacci sequence. On the first day, he sent
one red rose, on the second day, two red roses, and so on. How many
roses did Nicole receive during the tenth day?

Click here to see answer by Cromlix(4381)

Question 981875: in a sequence, the third number is 17 and the second 3.what is the first number of the sequence

Click here to see answer by josgarithmetic(39617)

Question 981911: What is the next term in the Fibonacci sequence 1, 1, 2, 3, 5, 8, ...?
Click here to see answer by MathLover1(20850)

Question 982000: Which of the following is the sum of all the multiples of 3 from 15 to
48?
Click here to see answer by jim_thompson5910(35256)

Question 982008: please help me to find the next in this sequence of 17,3
......
Click here to see answer by Alan3354(69443)

Question 981996: . Genber will evaluate an 8th degree polynomial in x at x = 10 using the Remainder Theorem and synthetic division. How many coefficients of x will be written in the first row of the synthetic division procedure?
Click here to see answer by josgarithmetic(39617)

Question 981999: Find the sum of the geometric sequence where the first term is 3, the
last term is 46 875, and the common ratio is 5.
Click here to see answer by josgarithmetic(39617)

Question 982069: The number of the sequence is 17, If the second number is 3, what is the first number?
Click here to see answer by KMST(5328)

Question 982059: if the number of sequence is 17 and the second number is 3,what is the first number?
Click here to see answer by Alan3354(69443)

Question 982058: if the number of sequence is 17 and the second number is 3,what is the first number?
Click here to see answer by Alan3354(69443)

Question 982070: 7k+6/3k+4 = 3k+4/2k+1 find the k
Click here to see answer by josgarithmetic(39617)

Question 982071: 7k+6/3k+4 = 3k+4/2k+1 solve the equation for the k
Click here to see answer by Cromlix(4381)

Question 982073: What is the nth term of the harmonic sequence 1/2 ,1/4 ,1/6,1/8
Click here to see answer by josgarithmetic(39617)

Question 982074: What is the nth term of the harmonic sequence 1/2,1/4,1/6,1/8
Click here to see answer by stanbon(75887)

Question 982107: I need to use these words ( domain, excluded values, set, factor, real numbers) in finding the answer to 5m^2 + m/7m and 12y -15/25y^2 -4
Is there anyway you can help me?
Click here to see answer by josgarithmetic(39617)

Question 982143: prove that the geometric mean of two positive, unequal numbers is less than their arithmetic mean.
Click here to see answer by ikleyn(52787)

Question 982141: a machine depreciates in value each year by 8% of its value at the beginning of the year. After how many years will its value first be less than half its original value?
Click here to see answer by josmiceli(19441)

Question 982082: Find p so that the numbers 7p + 2, 5p +12, 2p -1,... form an arithmetic
sequence.
Click here to see answer by josgarithmetic(39617)

Question 982131: the first term of an AP is 11 and the sums of the first five and first ten terms respectively are equal in magnitude but opposite in sign. find the second term of the progression.

Click here to see answer by mananth(16946)

Question 982085: A new square is formed by joining the midpoints of the consecutive
sides of a square 8 inches on a side. If the process is continued until
there are already six squares, find the sum of the areas of all squares
in square inches. thank you
Click here to see answer by mananth(16946)

Question 982221: the first term of an AP is 11 and the sums of the first five and first ten terms respectively are equal in magnitude but opposite in sign. find the second term of the progression
Click here to see answer by MathTherapy(10552)

Question 982231: y = 5/x+3 , (2,1)
Click here to see answer by josgarithmetic(39617)

Question 982258: A new square is formed by joining the midpoints of the consecutive
sides of a square 8 inches on a side. If the process is continued until
there are already six squares, find the sum of the areas of all squares
in square inches. hope you can help me
Click here to see answer by rothauserc(4718)

Question 982142: prove that. in a geometric series which has a sum to infinity. each term bears a constant ratio to the sum of all the following terms
Click here to see answer by Edwin McCravy(20056)

Question 982233: 2y+7=x^3 at (3,10)
Click here to see answer by Alan3354(69443)

Question 982259: In President Sergio Osme�a High School, suspension of classes is
announced through text brigade. One stormy day, the principal
announces the suspension of classes to two teachers, each of whom
sends this message to two other teachers, and so on. Suppose that
text messages were sent in five rounds, counting the principal�s text
message as the first, how many text messages were sent in all? please help me solve this
Click here to see answer by macston(5194)

Question 982234: y = 6x/x+1 at (2,4)
Click here to see answer by macston(5194)

Question 982314: Given P(x) = 2x3 + 3x2 � 5x � 12. What is the value of P(3)?
A. 56 C. 54
B. 55 D. 53
Click here to see answer by macston(5194)

Question 982312: Which polynomial gives a quotient of (3x2 + 2x + 4) and a remainder of
19 when divided by (2x � 3)?
A. 6x3 � 5x2 + 2x
B. 6x3 � 5x2 + 4x + 7
C. 6x3 � 5x2 + 2x + 7
D. 6x3 + 5x2 + 2x + 7
Click here to see answer by josgarithmetic(39617)

Question 982311: Which of the following polynomials is exactly divisible by (3x + 1)?
A. 6x2 + 17x + 5 C. 3x3 + 4x2 � 8x � 3
B. 9x2 + 6x + 1 D. all of the above
Click here to see answer by Alan3354(69443)

Question 982374: Find p so that the numbers 7p + 2, 5p +12, 2p -1,... form an arithmetic
sequence.
A. -8 B.-5 C. -13 D. -23
Click here to see answer by Theo(13342)

Question 982377: Which of the following polynomials is exactly divisible by (3x + 1)?
A. 6x2 + 17x + 5 C. 3x3 + 4x2 � 8x � 3
B. 9x2 + 6x + 1 D. all of the above
Click here to see answer by Alan3354(69443)

Question 982383: Which of the following is NOT a root of
x(x + 3)(x + 3)(x � 1)(2x + 1) = 0?
a. 0 c. �1
b. �3 d. 1/2
Click here to see answer by Cromlix(4381)

Question 982384: Find a cubic polynomial equation with roots �2, 2, and 4.
A. x3 + 4x^2 � 4x + 16 = 0 C. 10x^3 � x^2 � x + 16 = 0
B. x3 � 4x^2 � x + 16 = 0 D. x^3� 4x^2 � 4x + 16 = 0
Click here to see answer by MathLover1(20850)

Question 982378: Which polynomial gives a quotient of (3x^2 + 2x + 4) and a remainder of
19 when divided by (2x � 3)?
A. 6x^3 � 5x^2 + 2x C. 6x^3 � 5x^2 + 2x + 7
B. 6x^3 � 5x^2 + 4x + 7 D. 6x^3 + 5x^2 + 2x + 7
Click here to see answer by josgarithmetic(39617)

Question 982382: Find the remainder when (x^9 + 2x^8 + 3x^7 +�+ 9^x) is divided by (x � 1).
A. 45 C. 180
B. 90 D. 360
Click here to see answer by KMST(5328)

Question 982376: What is the sum of the infinite geometric series 3/4-9/16+27/64-81/256+ ..?
A. 3
b. 1
C.3/4
D. 3/7
Click here to see answer by AnlytcPhil(1806)

Question 982386: If P(� 2) = 0, which of the following statements is true about P(x)?
A. x + 2 is a factor of P(x) C. P(x) = 0, has two negative roots
B. 2 is root of P(x) = 0 D. P(0) = � 2
Click here to see answer by Fombitz(32388)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790