In an AP if the common difference (d) = - 4, and the seventh term (a7) is 4, then find the first term.

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3 Answers

Given d = -4 and a7 =  4

We know that nth  terrn of A.P is

an = a +(n-1) d

a7 =  a +  (7 -1)d  [ n = 7 ] 

4 = a + 6 (-4)

.'.    a = 4 + 24 = 28

.'.  First term of an A.P = 28

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Given d = – 4 and a7 = 4 

We know that nth term of AP is 

an = a + (n – 1)d 

a7 = a + (7 – 1)d    [n = 7] 

4 = a + 6(– 4) 

a = 4 + 24 = 28

First term of an AP = 28

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Answer given below:

https://bit.ly/2JShttv

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