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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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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