Question

Consider the arithmetic sequence log x + log √2, 2 log x + log 2, 3 log x + log 2√2......

(a) Find the general term of the sequence.
(b) Find the sum of the first 40 terms of the sequence.​

Answer 1

a)
`a_n=n log(x√(2) )`

b)
`S_(40)=820 log (x√(2))`

Explanation:

See attachment for step-by-step