Please help! 25 points! Find the sum of the first 6 terms of the following series, to the nearest integer.
28, 112, 448,....

Answer:
595
Step-by-step explanation:
First term:
7
7 ⋅ 4 = 28
Second term:
28
28 ⋅ 4 = 112
Third term:
112
112 ⋅ 4 = 448
Fourth term:
448
This geometric sequence can be further described by the equation:
aₙ = 7 ⋅ 4 ⁿ⁻¹
So if you want to find the 4th term, n = 4
a ₄ = 7 ⋅ 4 ⁴⁻¹ = 7 ⋅ 4 ³ = 7 ⋅ 64 = 448
Note:
aₙ = a₁ rⁿ ⁻¹