the 7th term of an A.P is -4 and its 13th term is 62.Find the A.P.
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Answer:
The A. P. is - 70,-59,-48,-37,-26,-15,-4.....
Step-by-step explanation:
Formula for nth term of an AP is a+(n-1)d
Where a is the first term, n is the required term and d is the common difference
Now, 7th term is - 4
Therefore, a+(n-1)d= - 4
a +(7-1)d = - 4
a+6d = - 4--------(i)
And 13th term is 62
a+(13-1)d = 62
a+12d=62-------(ii)
Subtracting equation (i) from (ii), we get
6d=66
d=11
Substituting &d=11 in equation (i), we get
a+6(11)=-4
a=-70
Therefore the progression will be as follows : - 70,-59.....-4........
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