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 1049539: When 1/4 of a number is added to 12 the result is 12
-3x+4/5 +6/5=-3�/4
Click here to see answer by Alan3354(69443)

Question 1049611: arithmetic sequence 4,1,-2,-5....is -38
Click here to see answer by Alan3354(69443)

Question 1049661: Find the 25th term in the sequence 0, 3, 8, 15, 24, 35, ..........

Click here to see answer by MathLover1(20850)

Question 1049728: 2,7,26,101,400, what comes next
Click here to see answer by richard1234(7193)

Question 1049756: 2. If a sequence is defined recursively by f(0)=2 and f(n+1)=-2f(n)+3 for n≥0 then f(2) is equal to
A. -11
B. 1
C. 5
D. 17
Click here to see answer by MathLover1(20850)

Question 1049832: 47+48+49+50+....+144=9359

What's the sequence of the numbers and how do I obtain it
Click here to see answer by ikleyn(52787)

Question 1049801: What is the smallest integer that can possibly be the sum of an infinite geometric series whose first term is 9?
Click here to see answer by ikleyn(52787)

Question 1049787: Expand the following sums: (i used the capital letter E as a symbol for the Sigma notation)
3) E^5 i = 2 [(-1)^i (x^(i-1))]
Click here to see answer by ikleyn(52787)

Question 1049687: Expand the following sums:
c) the summation from 2 to 5 of (-1)^i(x^(i-1))
Click here to see answer by ikleyn(52787)

Question 1049963: If 𝑓(1) = 3 and 𝑓(𝑛) = −2𝑓(𝑛 − 1) + 1,
then 𝑓(5) =
A. -5
B. 11
C. 21
D. 43
Click here to see answer by stanbon(75887)

Question 1049963: If 𝑓(1) = 3 and 𝑓(𝑛) = −2𝑓(𝑛 − 1) + 1,
then 𝑓(5) =
A. -5
B. 11
C. 21
D. 43
Click here to see answer by advanced_Learner(501)

Question 1049962: Find the first five terms of the recursive
sequence defined by the function below.
𝑓(𝑛) = 2𝑓(𝑛 − 1) + 3𝑛, where 𝑓(1) = −2

Click here to see answer by MathLover1(20850)

Question 1050524: 1320 1716 2184 2730 ? 4080

Click here to see answer by rothauserc(4718)

Question 1050524: 1320 1716 2184 2730 ? 4080

Click here to see answer by ikleyn(52787)

Question 1050552: A plane flies with a velocity of 100km in direction of $60e. Find the affective in the eastern & northern direction
Click here to see answer by Alan3354(69443)

Question 1050586: The sequence of 9,39,49,45,33,19,9
Click here to see answer by ikleyn(52787)

Question 1050532: What are the first 5 and 10th term for:
n+2
Click here to see answer by Fombitz(32388)

Question 1050522: 15 47 122 ? 511 895
Click here to see answer by Fombitz(32388)

Question 1050980: what is the next number in sequence below,
5,13,22,147,......
Click here to see answer by ikleyn(52787)

Question 1051325: If i was given a sub n = 3-2/3n, what is a sub 12
Click here to see answer by ikleyn(52787)

Question 1051481: How do i find the value of x in Arithmetic sequences?
5-x x+4 and 2x-7
Thanks!
Click here to see answer by ikleyn(52787)

Question 1051581: 17 + 34 + 51 + ........+ 595 =
Click here to see answer by Alan3354(69443)

Question 1051855: Find a and b if , given that
Click here to see answer by Edwin McCravy(20056)

Question 1051855: Find a and b if , given that
Click here to see answer by Bakr.R(8)

Question 1051859: 3. What is a5 in the following sequence?

1,4,8,12,19
i think its 19

Click here to see answer by visionamoah(2)

Question 1051874: what is the next three sequences for,40,43,38,41

Click here to see answer by ikleyn(52787)

Question 1051874: what is the next three sequences for,40,43,38,41

Click here to see answer by Alan3354(69443)

Question 1051902: Can you, please, show me the step-by-step process (i need to use formulas). Thank you (E for sigma)
E(10k+16), k from 3 to 9
Click here to see answer by solver91311(24713)

Question 1051899: Hi. I need to solve this using formulas. Can you, please, show me the step by step process because I keep getting the wrong answer. Thank you! E10k, k starts with 51 ends with 100.
Click here to see answer by solver91311(24713)

Question 1051923: Please help me solve this equation: If you divide a number by 6, then subtract 5, then add 3, you get 5

Click here to see answer by ikleyn(52787)

Question 1052077: 10 2 8&1/2 4&1/2 7 7 5&1/2 ?
Click here to see answer by ikleyn(52787)

Question 1052307: fill in the gaps in the sequence
4,9 ,25,35,
Click here to see answer by ikleyn(52787)

Question 1052402: I can't seem to figure out how these numbers are related: 0, 1, 3, 8, 18 thanks!
Click here to see answer by ikleyn(52787)

Question 1052540: the 10th term of an A.P is-27 and the 5th term is -12, what is the 18th term?
Click here to see answer by Fombitz(32388)

Question 1052685: 529 841 961 1369 1681 1849 ?
how to solve this series
Click here to see answer by Fombitz(32388)

Question 1052696: If x, y and z are consecutive terms in a geometric sequence, then y over z is equal to z over y. Show that the following numbers are consecutively in a geometric sequence:
A) 5, square root of 35 and 7
B) a, square root of ab and b
Click here to see answer by stanbon(75887)

Question 1052919: Given the arithmetic series 2+4+6...=420 find the term a and the common difference
Click here to see answer by ikleyn(52787)

Question 1052947: Find the constant of variation k in the case that y is directly proportional to x and inversely proportional to the square root of w , and y=1/3 when x=3 and w=2
Click here to see answer by josgarithmetic(39617)

Question 1052946: Suppose z varies directly with x and inversely with the square of y.
If z=18 when x=6 and y=1 , what is z when x=9 and y=8 �
Click here to see answer by josgarithmetic(39617)

Question 1053000: An A.p has 15 terms and a common difference of -3 find its first and last terms if its sum -120
Click here to see answer by ewatrrr(24785)

Question 1053181: Find the sum of -1+2+5+...+(3n-4)

Click here to see answer by ikleyn(52787)

Question 1053510: the 8th term of an arithmetic sequence and the 14th term is 116, determine the rule for the sequence and the 25th term
Click here to see answer by josgarithmetic(39617)

Question 1053573: Is the relationship between the variables in the table a direct variation, an inverse variation, or neither? If it is a direct or inverse variation, write a function to model it.

x -6,-4,-3,1
y -72,-48,-36,12

Click here to see answer by ewatrrr(24785)

Question 1053690: What are the first three terms of the arithmetic sequence if the 25th term is 35 and the 30th term is 5.?
Click here to see answer by stanbon(75887)

Question 1053537: the 6th term of an ap is 29 and 13th term is 64. calculate the first term common difference and the sum of the first 20 terms
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