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## 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 wi

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, . . . }

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Mathematics
1 year
2021-09-05T01:16:30+00:00
2021-09-05T01:16:30+00:00 1 Answers
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## Answers ( )

Answer:the formula is a_n = 6n – 5Step-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