7/23/2019 10 Mathematics Arithmetic Progression 05-2-2 Co

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1. If ( ), 2a a and 3a are in AP than value of a is

(a) -3 (b) -2 (c) 3 (d) 2

[1]

2. The Su of first n !ositive inte"ers is "iven b#

(a)( )1

,2

n n (b)

( )2 1,

2

n n +(c)

( )1

2

n n +(d) none of these

[1]

3. The first ter of an AP is -$ and coon difference %. &ind its "eneral ter [2]

'.o an# ters are there in A.P*

118,15 ,13,......, 47

2

[2]

%.In an A.P the su of first n ters is

23 13

.2 2

nn+ find its 2ndter.

[2]

+.Sho that the !ro"ression

1 1 34,7 ,10 ,13 ,17,......

4 2 4is an AP

[2]

$. &ind the su to n ter of the AP in %, 2, -1, -', -$ [3]

. &ind the su of first 2' ters of the list of no. hose nth ter is "iven b#

3 2na n= +

[3]

/. If ( )1 th

p + ter of an A.P is tice the ( )1 th

q + ter sho that ( )3 1 th

p + ter is tice

the ( )1 th

p q+ + ter.

[']

10. The su of four nubers in A.P is %0 and the "reatest nuber four ties the least.

&ind the nubers.

[']

11. &ind the su of all inte"ers beteen ' and $1/ hich are ulti!les of %. [']

12.If thter of an A.P is

1

nand the nthter is

1,

msho that the su of mn ter is

( )1

1 .2

mn +

[']

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