Question

Is 100 a term of the arithmetic sequence 3,7,11,.......

Answer 1

Answer:

Step-by-step explanation:

Given

a = 3

d = 7-3 = 4

Let 100 be represented as $a_{n}$,

$a_{n}$ = a + (n-1) d

$a_{n}$ = 3 + (n-1)4

$a_{n}$ = 3 + 4n - 4

$a_{n}$ = -1 + 4n

100 = -1 + 4n

4n = 101

n = 101/4

As n denotes number of terms , it cannot be a fraction

Hence 100 is not a term of the AP

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