Find a decimal approx for S (sub 15) in the geometric sequence with first term 83 and common ratio 1.07
To find the decimal approximation for S sub 15 in a geometric sequence, we can use the formula for the sum of the first n terms of a geometric sequence:
S sub n = a(1 - r^n)/(1 - r),
where S sub n represents the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.
In this case, we are given that the first term, a, is 83 and the common ratio, r, is 1.07. Plug these values into the formula to find S sub 15:
S sub 15 = 83(1 - 1.07^15)/(1 - 1.07).
Calculating this expression will give us the decimal approximation for S sub 15.