# Practice Test :Sequence Series

- The number of common terms in two sequences 17,21,25….417 and 16,21,26….466 is

a.78 b.19 c. 22 d.20 e.77

2. If a, b, c are in AP , then a/bc, 1/c, 2/b are in

a. AP b.GP c.HP d. None e. AGP

3. The positive numbers a,b,c, d are in HP and a not equal to b, the

a. a+d>b+c is always true

b. a+b> d+c is always true

c. a+c> b+d is always true

d.None

4.If n is a natural number, what is the sixth term of the sequence given by x_{n} = 4 × (0.5)^{n} ?

a.1 b.0.076 c.0.0625 d.24

5.The partial sums of the first n and n + 1 numbers of the Fibonacci sequence are both divisible by 11. What is the smallest value of n for which this is true?

a.9 b.8 c.11 d.10

6. The sum of 2n terms of A.P. {1, 5, 9, 13…..} is greater than sum of n terms of A.P. = {56, 58, 60..…}. What is the smallest value n can take?

a.9 b.12 c.14 d.10

7. a, b, c and d are in A.P., What can we say about terms bcd, acd, abd and abc?

a.They are also in A.P.

b.They are also in H.P.

c.They are also in G.P.

d.They are not in an A.P., G.P. or H.P.

8.Given A = 2^{65} and B = (2^{64}+2^{63}+2^{62}+…+2^{0})

a.B is 2^{64} larger than A

b.A and B are equal

c.B is larger than A by 1

d.A is larger than B by 1

9.If a, b, c, d, e, f are in AP, then the value of e – c will be:

a.2(c-a) b.2(f-d) c.2(d-c) d.d-c

10.Which of the following statements is correct?

a.If to each term of an AP a number is added or subtracted, then the series so obtained is also an AP

b.If each term of a GP be raised to the same power the resulting terms are in GP

c.All of the above

d.None of the above