Answer:
I don’t get most of it, but I believe “doubles” means two of the same number added together. For example, 9+9 is a double. I think “doubles +1” means a double and add one. For example, 6+6+1. If I were your sister, I would write “9+9 = 18” for doubles and “6+6+1 = 13” for doubles +1.
I hope I helped!
Step-by-step explanation:
a geometric sequence means that every term is created by multiplying the previous term by a certain constant factor. this factor is called the "common ratio".
so,
6×r = 18
r = 18/6 = 3
and a quick check tells us this works also for the next terms (18×3 = 54, 54×3 = 162), so it is indeed a geometric sequence with common ratio 3.
a0 = 6
a1 = a0 × 3 = 6×3 = 18
a2 = a1 × 3 = a0 × 3×3 = 6×3² = 54
an = a0 × 3^n = 6 × 3^n
so,
f(x) = 6×3^x, x is integer, x >=0
The integral of e raised to x squared dx to the limit from 1 to 3 translating in equation we get
∫1-3 e^(X^2) dx.
Solving using scientific calculator, we have 1443.082471 or simply 1443.
<em>ANSWER: 1443</em>