a27-a7=84,what is the common difference of the Ap
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SOLUTION :
Let ‘a’ is the first term and d is the common difference of the AP
Given :
a27 - a7 = 84
an=a+(n-1)d
a27=a+(27-1)d &
a7=a+(7-1)d
a27- a7=84
a+26d - (a+6d) = 84
a+26d - a - 6d = 84
a - a +26d - 6d = 84
26d - 6d = 84
20 d=84
d = 84/20 = 21/5
Hence, the common difference of an AP is 21/5.
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