Question

check whether 51 is a term in the ap 5,8,11,14....

Answer 1

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GIVEN :

The A.P is 5,8,11,14,......

From this ,

The first term, a = 5

The common difference , d = t2 - t1

d = 8 - 5

d = 3

TO FIND :

Whether 51 is the term of the AP.

SOLUTION:

The general term,tn

$tn = a + (n - 1)d$

where n is the nth term.

tn = a + ( n - 1 ) d

51 = 5 + ( n - 1 ) 3

51 = 5 + 3n - 3

51 = 3n + 2

3n = 51 - 2

3n = 49

n = 49/3 ( fraction )

Since n is a fraction,,,, 51 does not belong to this AP

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