skirmanedu
Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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]

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.