Find the number of terms in the sequence or the sum of the sequence as requested.
-Find the number of terms in the following arithmetic sequence. 1, 3, 5, 7, . . ., 51
A)28
B)26
C)25
D)51

Question

Quizplus · Accepted Answer

The sequence is an arithmetic sequence with a common difference of 2. To find the number of terms, use the formula for the nth term of an arithmetic sequence: $a_n = a_1 + (n - 1)d$, where $a_n$ is the nth term, $a_1$ is the first term, $d$ is the common difference, and $n$ is the number of terms. Plugging in the values: $51 = 1 + (n - 1)2$. Solving for $n$ gives $n = 26$.

Find the Number of Terms in the Sequence or the Sum