If the common difference of an ap is 3 find the value of a20-a15
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Common difference, d=3
General term of an AP,
a=a1+(n-1)d
a1= 1st term
and n= nth term
therefore, a20 = a1 + (20-1)d
a20 = a1 + 19d
Similarly, a15 = a1 + 14d
Now, a20 - a15 = (a1 + 19d) - (a1 + 14d)
= a1 + 19d - a1 - 14d
= 19d - 14d
= 5d
= 5 × 3 (d = 3)
= 15
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