Math, asked by hulk59301, 9 months ago

Write the arithmetic sequence got by adding 3 to multiples of 7 ?
Write the algebraic expression of this sequence? Is 2000 a term of this sequence ?

Answers

Answered by Anonymous
13

Answer:

Multiple of 7 = 7 , 14 , 21 ........

3 added = 10 , 17 , 24 ........

an = a + (n - 1) d

an = 10 + (n - 1) 7

an = 10 + 7n - 7

an = 7n + 3

Let 2000 be nth term of A.P.

an = a + (n - 1) d

2000 = 10 + (n - 1) 7

2000 = 10 + 7n - 7

2000 = 7n + 3

7n = 1997

n = 1997/7        (n ≠ whole number)

Hence, 2000 is not a term of A.P.

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