What is the value of

1456

Step-by-step explanation:

For this problem, there is a short cut you can use to solve it. In order to understand the meaning of summation, I will do it the long way to show how a summation works. This sum is from n=1 to n=6. We plug in the values of n into the expression, then add together the sums.

n=1

4(3)¹⁻¹

=4(3)⁰

=4

n=2

4(3)²⁻¹

=4(3)¹

=12

n=3

4(3)³⁻¹

=4(3)²

=4(9)

=36

n=4

4(3)⁴⁻¹

=4(3)³

=4(27)

=108

n=5

4(3)⁵⁻¹

=4(3)⁴

=4(81)

=324

n=6

4(3)⁶⁻¹

=4(3)⁵

=4(243)

=972

Now that we have all our values, we can add them together to get the sum.

4+12+36+108+324+972=1456

The sum is 1456. You can also notice that the values multiply by 3 each time.

true

step-by-step explanation:

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