Question

Q2. Write down the next four terms in each sequence. Also explain in
each case, how you figured out what the terms are.
a) 2, 4, 8, 14, 22, 32, 44
b) 2, 6, 18, 54, 162
c) 1, 7, 13, 19, 25​

Answer 1

Answer:

a) 58,74,92,112

b)486,1358 4019,12057

c)31,37,43,49

Answer 2

Answer:

a) next four terms: 58, 72, 92, 112

b) next four terms: 486, 1458, 4374, 13122

c) next four terms: 31, 37, 43, 49

Step-by-step explanation:

a) Here the numbers are in the sequence of adding even numbers, for example, 2+2 = 4, then 4+4=8, then 8+6=14, then 14+8=22... and so on it goes.

The bold numbers are the even numbers that are to be added sequence-wise.

b) Here, with the first term, i.e. 2, 4 is added. Then 3 times of 4 = 12 is added to 6, then 3 times of 12 = 36 is added to 18, and so on the multiples are added to the numbers.

c) Here for each term, 6 is added to the proceeding digit. For example, 1 + 6=7; 7 + 6 =13; 13 + 6=19; and so on.