is -180 a term of the ap 17, 12, 17, 2
Answers
Answered by
29
Is -180 a term of the AP 17, 12, 17, 2
Solution
first term a= 17
common difference d= 12-17 = -5
(assume) last term l = -180
so formula to find the number terms in this series
n = (l-a)/d +1
= [(-180 - 17) / (-5) ] +1
= [-197 / (-5) ] +1
= 39.4 +1
= 40.4
here we get the answer in decimal so this is not in the term of AP
Solution
first term a= 17
common difference d= 12-17 = -5
(assume) last term l = -180
so formula to find the number terms in this series
n = (l-a)/d +1
= [(-180 - 17) / (-5) ] +1
= [-197 / (-5) ] +1
= 39.4 +1
= 40.4
here we get the answer in decimal so this is not in the term of AP
Answered by
10
Answer:
Step-by-step explanation:
Ap=17,12,7,2...
a=17
d=12-17=-5
an=-180
an=a+(n-1)d
-180=17+(n-1)-5
-180-17=-5n+5
-197=-5n+5
-197-5=5n
-202=5n
n=202\5=40.4
Since it is not an integer -180 is not a term of this ap
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