Arithmetic Progressions Q3 — Class 10 Maths Solution

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Maths Arithmetic Progressions Easy

In an AP:

(i)given $a = 5$ , $d = 3$ , $a_{n} = 50$ , find $n$ and $S_{n}$ .
(ii)given $a = 7$ , $a_{13} = 35$ , find $d$ and $S_{13}$ .
(iii)given $a_{12} = 37$ , $d = 3$ , find $a$ and $S_{12}$ .
(iv)given $a_{3} = 15$ , $S_{10} = 125$ , find $d$ and $a_{10}$ .
(v)given $d = 5$ , $S_{9} = 75$ , find $a$ and $a_{9}$ .
(vi)given $a = 2$ , $d = 8$ , $S_{n} = 90$ , find $n$ and $a_{n}$ .
(vii)given $a = 8$ , $a_{n} = 62$ , $S_{n} = 210$ , find $n$ and $d$ .
(viii)given $a_{n} = 4$ , $d = 2$ , $S_{n} = - 14$ , find $n$ and $a$ .
(ix)given $a = 3$ , $n = 8$ , $S = 192$ , find $d$ .
(x)given $l = 28$ , $S = 144$ , $n = 9$ , find $a$ .

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