Find the sum of the first seven terms of the sequence 4, 12, 36, 108,

The sum of first seven term of series is 4372.

Step-by-step explanation:

We need to calculate the sum of first seven term of given series

Given series is 4, 12, 36, 108,

we can see the pattern of series is each new term is multiplied by 3 with previous term.

4, 12, 36, 108,

This is in the form of geometric series

A geometric sequence has a constant ratio r and is defined by

where

so, 4, 12, 36, 108, 324, 972, 2916,..

Therefore, the sum of first seven term of series is 4372.

true

step-by-step explanation:

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.