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Question

Find the sum of two middle terms of the A.P. : 43,1,23,13,....,413

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Solution

a=43

d=1+43=13

l=a+(n1)d

133=43+(n1)13

183=n3

n=18

middle term=182=9 and 10

T9=43+(91)13=43
T10=43+(101)13=53

sum of two middle terms53+43=93=3

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