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Test: Progression (AP And GP)- 2


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Test: Progression (AP And GP)- 2 - Question 1

Find  the  15th  term  of  an  arithmetic  progression  whose  first  term  is  2  and  the  common  difference is 3

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Test: Progression (AP And GP)- 2 - Question 2

What  is  the  sum  of  the  first  15  terms  of  an  A.P  whose  11 th  and   7 th  terms  are  5.25  and  3.25  respectively

Detailed Solution for Test: Progression (AP And GP)- 2 - Question 2

Test: Progression (AP And GP)- 2 - Question 3

If(12+22+32+…..+102)=385,then the value of (22+42+62 + …+202) is :

Detailed Solution for Test: Progression (AP And GP)- 2 - Question 3

(12+22+32+.......102)=385

(22+42+62+.......+202) = 22(12+22+ 32+.....+102 )
=4(385)
 =1540

Test: Progression (AP And GP)- 2 - Question 4

In an arithmetic series consisting of 51 terms, the sum of the first three terms is 65 and the sum of the middle three terms is 129. What is the first term and the common difference of the series?

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Test: Progression (AP And GP)- 2 - Question 5

The sum of the first 100 numbers, 1 to 100 is divisible by

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Test: Progression (AP And GP)- 2 - Question 6

How many terms are there in G.P 3,6,12,24,….,384?

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Test: Progression (AP And GP)- 2 - Question 7

Four  angles  of  a  quadrilateral  are  in  G.P.  Whose  common  ratio  is  an  intiger.  Two  of  the  angles  are  acute  while  the  other  two  are  obtuse.   The  measure  of  the  smallest   angle  of  the  quadrilateral  is

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Test: Progression (AP And GP)- 2 - Question 8

How many numbers between 11 and 90 divisible by 7?

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Test: Progression (AP And GP)- 2 - Question 9

If Sn denotes the sum of the first n terms in an Arithmetic Progression and S1: S4 = 1: 10

Then the ratio of first term to fourth term is:

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Test: Progression (AP And GP)- 2 - Question 10

The sum of the three numbers in A.P is 21 and the product of their extremes is 45. Find the numbers.

Detailed Solution for Test: Progression (AP And GP)- 2 - Question 10

Let the numbers are be a - d, a, a + d
Then a - d + a + a + d = 21
3a = 21
a = 7
and (a - d)(a + d) = 45
a2 - d2 = 45
d2 = 4
d = +2
Hence, the numbers are 5, 7 and 9 when d = 2 and 9, 7 and 5 when d = -2. In both the cases numbers are the same.

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