SOLUTION: The seventh term of geometric sequence is 32 and the last term is 512. If the first term is 1/2, find the number of term and the sum of the progression
Algebra.Com
Question 1155392: The seventh term of geometric sequence is 32 and the last term is 512. If the first term is 1/2, find the number of term and the sum of the progression
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
2^(-1) is the first term, and 2^9=512
There are 11 terms
the sum is 11(1-r^n)/(1-r)
=(1/2)(1-2048/-1
=(1/2)(2047)
=1023(1/2)
RELATED QUESTIONS
find the number of terms of a geometric sequence with, first term 1/64, common ratio 2... (answered by RAY100)
8th term of geometric sequence with the first term of -2 and the fifth term... (answered by josgarithmetic)
The third term of a geometric sequence is 32 and the fifth term is 512. What is the... (answered by Fombitz)
The second term of the geometric sequence is 250, and the fifth term is 16. Find the... (answered by ikleyn)
The second term of the geometric sequence is 250, and the fifth term is 16. Find the... (answered by ikleyn)
The third term of a geometric sequence is 3 and the 6th term is 1/9? Find the first term.
(answered by Fombitz,ikleyn,MathTherapy)
The sum of the second and third terms of a geometric sequence is 18 . If the tenth term... (answered by CubeyThePenguin,ikleyn,josgarithmetic)
If the second term is 1/2 and the seventh term of a geometric progression is 1/64 find... (answered by stanbon)
the third term of a geometric sequence is 4 and the sixth term is 32/27. find the nth... (answered by MathLover1)