Get the information you need with the help of IDNLearn.com's expert community. Our experts are ready to provide prompt and detailed answers to any questions you may have.

find the sum of the first n terms of the sequence-8,-32,-128,...; n=10

Sagot :

SOLUTION

In this question, we are meant to find the sum of the first n terms of the sequence.

In this case, n = 10.

Sum of n terms, Sn = a ( r ^n - 1 ) / r - 1 ......... Since the sequence is a Geometric Sequence.

Sn = Sum of n terms

a = first term = - 8

r = common ratio = -32 / - 8 = 4

S10 = -8 ( 4 ^10 - 1 ) / 4 - 1

S10 = -8 ( 1048576 - 1 ) / 3

S10 = -8 X 1048575 / 3

S10 = - 8388600 / 3

S10 = - 2, 796 , 200

We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is dedicated to providing accurate answers. Thank you for visiting, and see you next time for more solutions.