Question

9/10
using the formula, what is the 10th term of a sequence starting with 5 and a common difference of 7?
72
68
78

Explanation:

Step1: Recall arithmetic sequence formula

The nth term of an arithmetic sequence is given by $a_n = a_1 + (n-1)d$, where $a_1$ is the first term, $n$ is the term number, and $d$ is the common difference.

Step2: Identify given values

$a_1 = 5$, $n = 10$, $d = 7$

Step3: Substitute values into formula

$a_{10} = 5 + (10-1)\times7$

Step4: Calculate the result

First compute $(10-1)=9$, then $9\times7=63$, finally $5+63=68$

Answer:

68