Question

What is the seventh term in the arithmetic sequence defined by the explicit formula an=5n+3?What is the seventh term in the arithmetic sequence defined by the explicit formula an=5n+3? Enter your answer in the box. a7=

Answer 1

a7 = 5*7+3 = 38.

Just sub in n = 7 and you will get it.

Answer 2

Step-by-step explanation:

When difference between the two consecutive terms remain the same throughout a sequence then this is known as arithmetic sequence.

The general formula for arithmetic sequence is as follows.

       a, a+d, a+2d, a+3d, and so on

The given formula is as follows.

           $a_{n} = 5n+3$

Since we have to find seventh term in this arithmetic sequence, this means that n = 7.

Therefore, putting the value of n into the formula as follows.

          $a_{7} = 5(7)+3$

                           = 35 + 3

                           = 38

Thus, we can conclude that $a_{7}$ = 38.