The question presents a number sequence and asks for the next term.
Sequence Pattern Recognition
We need to identify the rule governing the sequence: 3, 6, 18, 72, 360, ?
Let's examine the relationship between consecutive terms:
- $6 \div 3 = 2$
- $18 \div 6 = 3$
- $72 \div 18 = 4$
- $360 \div 72 = 5$
The pattern is that each term is obtained by multiplying the previous term by an integer, starting from 2 and increasing by 1 for each subsequent step.
Calculating the Next Term
Following the identified pattern, the next operation is to multiply the last term (360) by the next integer in the sequence, which is 6.
- The sequence of multipliers is: 2, 3, 4, 5, ...
- The next multiplier is 6.
- Calculation: $360 \times 6$
Performing the multiplication:
$360 \times 6 = 2160$
Therefore, the next number in the sequence is 2160.
Similar Questions
What is the next number in the series?
100, 50, 25, ___- Complete the series.
2, 4, 7, 11, 16, ? - What should come at the place of question mark?
2, 5, 10, 17, 26, ? - What should come at the place of question mark? 1, 8, 27, 64, 125, ?, 343
- What should come in place of the question mark '?' in the following number series?
$45, 40, 50, ?, 55, 30$ - Complete the series.
$25, 36, 49, 64, 81, ?$ - What should come at the place of question mark? : $98, 90, 82, 74, ?, 58$
- What should come in place of the question mark '?' in the following number series?
12, 6, 0, -6, ?, -18 Complete the series.
10, 20, 18, 36, 34,68 ________- What should come in place of the question mark '?' in the following number series?
76, 80, 71, 87, 62, ?
Important Questions from Number Series
What will come in place of question mark (?) in the following number series?
2, 5, 11, 23, 44, 77, ?
What will come in place of question mark (?) in the following number series?
31, 32, 36, ?, 61, 86
What will come in the place of question mark (?) in the following number series?
3, 6, 18, ?, 630, 6930
What should come in place of the question mark ‘?’ in the following number series?
60, 40, 50, ?, 180, 460
A series is given with one term wrong. Select that wrong term from the given alternatives.
J12, M24, P48, S96, U192
