# Sequence and Series

# Aptitude Question ID : 94044

The value of * in this sequence $latex 27, 9, 3, *, \frac{1}{3}, \frac{1}{9}, \frac{1}{27}&s=1$ is : [A]-3 [B]-1 [C]1 [D]0 Show Answer 1 The given sequence is based on the following pattern : $latex 27\xrightarrow{\times \frac{1}{3}}9\xrightarrow{\times \frac{1}{3}}3\xrightarrow{\times \frac{1}{3}}\underline1\xrightarrow{\times \frac{1}{3}}\frac{1}{3}\xrightarrow{\times \frac{1}{3}}\frac{1}{9}\xrightarrow{\times \frac{1}{3}}\frac{1}{27}&s=1$ ∴ The value of * is 1, hence option [B] is the right ..

# The next number of the sequence 2, 6, 12, 20, 30, 42, 56, __ is :

The next number of the sequence 2, 6, 12, 20, 30, 42, 56, __ is : [A]60 [B]64 [C]70 [D]72 Show Answer 72 The given sequence is based on the following pattern : $latex 2\xrightarrow{+4}6\xrightarrow{+6}12\xrightarrow{+8}20\xrightarrow{+10}30\xrightarrow{+12}42\xrightarrow{+14}56\xrightarrow{+16}\underline{72}$ ∴ Required number = 72.

# Given below is a finite sequence of numbers with an unknown x : 0, 1, 1, 2, 3, 5, 8, 13, x, 34 the value of x is :

Given below is a finite sequence of numbers with an unknown x : 0, 1, 1, 2, 3, 5, 8, 13, x, 34 the value of x is : [A]17 [B]19 [C]20 [D]21 Show Answer 21 In the given sequence, (starting from the third number) the succeding number is sum of two just precceding numbers. ..

# The sixth term of the sequence 11, 13, 17, 19, 23, __, 29 is :

The sixth term of the sequence 11, 13, 17, 19, 23, __, 29 is : [A]19 [B]22 [C]24 [D]25 Show Answer 25 The sequence is based on the following rule : $latex 11\xrightarrow{+2}13\xrightarrow{+4}17\xrightarrow{+2}19\xrightarrow{+4}23\xrightarrow{+2}\underline{25}\xrightarrow{+4}29$ Hence, the sixth term is 25.

# The wrong term in the sequence 7, 28, 63, 124, 215, 342, 511 is :

The wrong term in the sequence 7, 28, 63, 124, 215, 342, 511 is : [A]28 [B]7 [C]215 [D]124 Show Answer 28 The given sequence is based on the following pattern : $latex 2^{3}-1 = 7$ $latex 3^{3}-1 = \underline{26} , 28(not)$ $latex 4^{3}-1 = 63$ $latex 5^{3}-1 = 125-1 = 124$ $latex 6^{3}-1 = ..