Mathematics

Mathematics

Problem

3. In an AP : (i) given

a=5, d=3, a_{n}=50

, find

n

and

\mathrm{S}_{n}

. (ii) given

a=7, a_{13}=35

, find

d

and

\mathrm{S}_{13}

. (iii) given

a_{12}=37, d=3

, find

a

and

\mathrm{S}_{12}

. (iv) given

a_{3}=15, \mathrm{~S}_{10}=125

, find

d

and

a_{10}

. (v) given

d=5, \mathrm{~S}_{9}=75

, find

a

and

a_{9}

. (vi) given

a=2, d=8, \mathrm{~S}_{n}=90

, find

n

and

a_{n}

. (vii) given

a=8, a_{n}=62, \mathrm{~S}_{n}=210

, find

n

and

d

. (viii) given

a_{n}=4, d=2, \mathrm{~S}_{n}=-14

, find

n

and

a

. (ix) given

a=3, n=8, \mathrm{~S}=192

, find

d

. (x) given

l=28, \mathrm{~S}=144

, and there are total 9 terms. Find

a

.

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