If the common difference of an AP is 5, then what is
018 - 413?
(a) 5
(b) 20
(c) 25
(d) 30
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Answer:
a_{18}-a_{13} =25
Step-by-step explanation:
Common difference of AP = d = 5
Formula of nth term in AP = a_n=a+(n-1)d
Substitute n = 18
a_{18}=a+(18-1)5
a_{18}=a+85
Substitute n = 13
a_{13}=a+(13-1)5
a_{13}=a+60
Now we are given that a_{18}-a_{13}
a_{18}-a_{13}
a+85-(a+60)
a+85-a-60
85-60
25
Hence a_{18}-a_{13} =25
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