Answer

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**Hint**: This is a logical question and we need to use our logical reasoning to solve this question. Look at each term, each term is the product of the previous number’s both digits. Hence our answer is 8.

**:**

__Complete step-by-step answer__Given sequence is: 77, 49, 36, 18

Here, we have to find the preceding term of the given sequence.

Now, this is a logical question and there can be many logics that we can use to solve this question and since no options are given there can be multiple correct answers to this question.

Let us see the logic behind this sequence.

First term is 77.

Next term is 49 which is equal to the product of the one's place digit and tens place digit of the previous number 77 $\left( {7 \times 7} \right)$.

Next term is 36 which is equal to the product of the ones place digit and tens place digit of the previous number 49 $\left( {4 \times 9} \right)$.

Next term is 18 which is equal to the product of the ones place digit and tens place digit of the previous number 36 $\left( {3 \times 6} \right)$.

Hence, the term must be equal to the product of one's place digit and tens place digit of the previous number 18 $\left( {1 \times 8} \right)$.

Hence the next term of the given sequence is 8.

Hence, the sequence becomes 77, 49, 36, 18, 8

**So, the correct answer is “8”.**

**Note**: As told earlier, this is a logical question and many logics can be applied on this sequence to find the preceding term.

Other logic is that if we subtract the first term and third term, the answer is 41.

When we subtract second term and fourth term, the answer is 31.

So, according to this logic, the fifth term should be such that when we subtract third term and fifth term the answer comes 21. When we subtract 15 from 36, we get answer 21.

Hence, 77, 49, 36, 18, 15 could also be logically correct sequences.

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