Question

What is the sum of the arithmetic sequence 9, 14, 19, , if there are 32 terms?



2,768

2,800

2,832

2,864

Answer 1

get the 32nd term first \[\large A_n = A_1 + (n-1) d\]

Answer 2

An is the last term.
A1 is the first term
n is the number of terms
d = A2 - A1

Answer 3

The sum of an arithmetic sequence:

\(\Large \color{MidnightBlue}{\Rightarrow {n \over 2}(n_{1} + n_{l}) }\)

l = last term.