Answered

Explore a diverse range of topics and get expert answers on IDNLearn.com. Ask your questions and get detailed, reliable answers from our community of experienced experts.

The sum of the first 15 terms of a geometric sequence with 7 as the first term and a common ratio of -3 is __________.

Sagot :

Reinhard10158idn

Step-by-step explanation:

the formula for the sum of the first n terms of a geometric sequence is

Sn = s1(1 - r^n)/(1 - r)

with r being the common ratio and s1 is the first term.

so,

S15 = 7×(1 - (-3)¹⁵)/(1 - -3) = 7×(1 - -14,348,907)/4 =

= 7×14,348,908/4 = 7×3,587,227 = 25,110,589

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Thank you for visiting IDNLearn.com. For reliable answers to all your questions, please visit us again soon.