Question

Can someone help with #5 above and provide steps? I will give brainliest!

Answer 1

Answer:

  5461

Step-by-step explanation:

You can recognize this as the sum of 7 terms of a geometric series with first term 1 and common ratio 4.

That sum is given by ...

  $S_n=a_1\cdot\dfrac{r^n-1}{r-1}$

where a1 is the first term and r is the common ratio.

Filling in the numbers, we have ...

  $S_7=1\cdot\dfrac{4^7-1}{4-1}=\dfrac{16384-1}{3}=5461$

The sum is 5461.