If {\t}_{ {\n}}=\frac{1}{4}( {\n}+2)( {\n}+3), {\n} \in {\N}, then which one of the following is true ? Assertion (A) : \frac{1}{t_1}+\frac{1}{t_2}+. . .+\frac{1}{t_{2003}}=\frac{2003}{3009} Reason (R) : \frac{1}{ {\t}_1}+\frac{1}{ {\t}_2}+. . .+ {1}/{ {\t}_{ {\n}}}= {4 {\n}}/{(2 {\n}+3)} [AP EAPCET 23 May 2025 S1]

Correct Answer is : (A) is false, (R) is false

(A) and (R) are true and (R) is a correct explanation of (A)

(A) and (R) are true, but (R) is not the correct explanation of (A)

Sequences and Series

Section: Mathematics

Question : 5 of 25

Marks: +1, -0

If tn=‌

(n+2)(n+3),n∈N, then which one of the following is true ?
Assertion (A) : ‌

+‌

+...+‌

t2003

=‌

2003

3009

Reason (R) : ‌

+‌

+...+‌

=‌

(2n+3)

[AP EAPCET 23 May 2025 S1]

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