SEQUENCE

TEST THE CONVERGENCE OF THE SERIES .....
show stepwise :

3 Answers

62
Lokesh Verma ·

tn+1/tn = 2/(n+1)

this <1/2 for all n>=4

hence the sum is less than t1+t2+t3+t4+t4/2+t4/8+t4/16+.....

=t1+t2+t3+2t4

hence the sum is convergent :)

1
manurox ·

thnks bhaiya but can u tell why are we taking
n>=4
and another thing its terms are in form >>

dint understand dis step [2] >> tn+1/tn= 2/(n+1) ..

1
manurox ·

can u SHOW by COMPARISON TEST method ?

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