# Find the 20th term from the last term of the AP 3,8,13........253.

2
by gondi

2015-03-04T19:57:22+05:30

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So common difference =d= 8 - 3 = 5
last term = a = 253

n = 20

so using nth = a - (n - 1)d

⇒ x = 253 - 19 x 5

⇒ x = 158 ANSWER
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2015-03-04T20:07:17+05:30

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From given data a=3, d= 8-3=5, l=253
l=a+(n-1)d
253=3+(n-1)5
n-1=253-3/5
n-1=50
n=50+1=51
there are 51 numbers in the series
the 20th term from the last will be 32nd term (note that it will not be the 31st term)
so, a32=3+(32-1)5
= 3+(31)5
= 3+155
= 158
therefore the 20th term from the last is 158
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