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Sequences and Series question

2022 · Shift 1 · Q28

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JEE Advanced
Mathematics
Sequences and Series
2022 · Shift 1 · Q28

Sequences and Series question

2022 · Shift 1 · Q28

JEE AdvancedMathematicsSequences and SeriesMultiple correct+4 / −2

Let

a_{1}, a_{2}, a_{3}, \ldots

be an arithmetic progression with

a_{1}=7

and common difference 8. Let

T_{1}, T_{2}, T_{3}, \ldots

be such that

T_{1}=3

and

T_{n+1}-T_{n}=a_{n}

for

n \geq 1

. Then, which of the following is/are TRUE ?

A
$T_{20}=1604$
B
$\sum\limits_{k=1}^{20} T_{k}=10510$
C
$T_{30}=3454$
D
$\sum\limits_{k=1}^{30} T_{k}=35610$

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