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 ?
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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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