Mathematics-Sequence Series

Test Preparation on Mathematics-Sequence and Series

1.

If the 1^st term and common ratio of a G.P. are 1 and 2 respectively then s₁ + s₃ + s₅ +...+ s_2n-1 = __________

1
1/3( 2²ⁿ-5n+4)
2
1/3 (2²ⁿ⁺¹ -5n)
3
1/3 (2²ⁿ⁺¹-3n-2)
4
1/3 (2²ⁿ⁺¹ - 5n²)

2.

1/2 +3/4+7/8+15/16+......100 terms = ..........

1
2¹⁰⁰+99
2
2^-100+99
3
2^-101+100
4
2^-99+99

3.

If for the triangle whose perimeter is 37 cms and length of sides are in G.P. also the length ofthe smallest side is 9 cms then length of remaining two sides are _ and

112,16
214,14
310,18
415,13

4.

Find a, b and c between 2 and 18 such that a+b+c=25, 2,a,b are in A.P. and b,c, 18 are in G.P.

15,8,12
24,8,13
33,9,13
45,9,11

5.

Find out four numbers such that, first three numbers are in G.P., last three numbers are in A.P.having common difference 6, first and last numbers are same.

18, 4, 2, 8
2-8, 4, -2, -8
38, -4, 2, 8
4-8, -4, -2, -8

Let the four numbers are a + 6, a – 6, a, a + 6

(a – 6)² = (a + 6) a => a=2

required four numbers are 8, –4, 2, 8

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