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.
The answer is in the photo, please tell me the steps, thank you

Step-by-step explanation:

Given sequence:

a)

The terms can be rewritten as:

b)

Sum of the first n terms:

Sum of the first 40 terms:

i can't read the graph

step-by-step explanation:

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.