Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

in the geometric series model \\(\\sum_{n=1}^{10} (100)(2)^{n - 1}\\), …

Question

in the geometric series model \\(\sum_{n=1}^{10} (100)(2)^{n - 1}\\), identify the number of terms. (1 point)
the number of terms is \\(\square\\).

Explanation:

Step1: Understand the summation notation

In the summation $\sum_{n = 1}^{10}(100)(2)^{n - 1}$, the lower limit of $n$ is $1$ and the upper limit is $10$.

Step2: Determine the number of terms

The number of terms in a summation from $n = a$ to $n = b$ is given by $b - a + 1$. Here, $a = 1$ and $b = 10$, so the number of terms is $10 - 1 + 1 = 10$.

Answer:

10