skirmanedu
Answered

Welcome to Westonci.ca, your go-to destination for finding answers to all your questions. Join our expert community today! Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Add the first 9 terms of this sequence:
-7, -7/2, -7/4, -7/8, -7/16, ...

Sagot :

Answer:

Sum is -3577/256

Step-by-step explanation:

This is a geometric progression:

[tex]S = \frac{a( 1 - {r}^{n} )}{1 - r } \\ for \: \: r < 1[/tex]

S is the sum

a is the first term, a = -7

r is the common ratio, r = -7/2 ÷ -7 = ½

substitute:

[tex]S = \frac{ - 7(1 - {( \frac{1}{2}) }^{9} }{1 - \frac{1}{2} } \\ \\ S = \frac{ - 6.986}{ \frac{1}{2} } \\ \\ S = - \frac{3577}{256} [/tex]

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.