Question

Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.)
{1, 7, 13, 19, 25, . . . }

Answer 1

Answer:

the formula is a_n = 6n - 5

Step-by-step explanation:

The formula is

Given that

{1, 7, 13, 19, 25, . . . }

The difference between the numbers is

7 -  1 = 6

13 -7 = 6

19 - 13 = 6

a = 1

d = 6

Now the formula is

a_n = a + (n - 1)d

= 1 + (n - 1)6

= 1 + 6n - 6

= 6n - 5

So, the formula is a_n = 6n - 5