Write an expression that gives the requested sum.

The sum of the first 16 terms of the geometric sequence with first term 9 and common ratio 2

The sum of the first 16 terms of the geometric sequence

S₁₆ = 5,89,815

Step-by-step explanation:

Explanation:-

Geometric series:-

The geometric sequence has its sequence Formation

a , a r, ar² , ar³,...…..a rⁿ  be the n t h sequence

Given first term a=9 and common ratio 'r' = 2

The sum of the first 16 terms of the geometric sequence

Given first term a=9 , 'r' = 2 and n=16

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

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