# The 1st term of an A.P is 2 and the 20th term is 59, find the common difference of the A.P

2
by chokeh

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by chokeh

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and d be the common difference then,

nth term=a+(n-1)d

1th term=a+(1-1)d

2=a+0

a=2

20th term=a+(20-1)d

2+19d=59

19d=59-2

19d=57

d=57/19

d=3

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So given first term(a)= 2

given 20 th term = 59

so using formula

value nth term = a + (n - 1)d where n = no. of terms

59 = 2 + (20 - 1)d

d = 57/19

d = 3

so common difference = 3

given 20 th term = 59

so using formula

value nth term = a + (n - 1)d where n = no. of terms

59 = 2 + (20 - 1)d

d = 57/19

d = 3

so common difference = 3