Question

3,6,24,144,?,11520
a.576
b.864
c.1008
d.1152
please answer with explanation

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Answer 1

Answer:

1152

Step-by-step explanation:

We see,

3*2 = 6

6*4 = 24

24*6 = 144

So we see here the multiplier(which here is 2,4,6) increase by 2

So our next number would be

144*8 = 1152

Now to check the answer we continue

1152*10 = 11520

Hence the answer is d) 1152

Answer 2

Answer:

The correct answer is option (d) 1152

Step-by-step explanation:

Required to find the missing number in the pattern

3,6,24,144,?,11520

Solution:

If we analyze the sequence, we can see that

First-term = $a_1$ = 3

Second term = $a_2$ = 6= $a_1$×(2×1)

Third term = $a_3$ = 24 = $a_2$ ×(2×2)

Third term = $a_4$ = 144 = $a_3$×(2×3)

Hence, the nth term of this pattern = $a_n$ = $a_{n-1}$×(2×(n-1)), for n>1

Required to find the fifth term

Fifth term = $a_5$ = $a_4$ ×(2×4) = 144 ×(2×4) = 1152

∴ The missing term is 1152

The correct answer is option (d) 1152

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