7,10,19,46,127,?
please solve this naa llzzz
Answers
Answer:
370
Step-by-step explanation:
7 × 3^1 = 10
10 × 3^2 = 19
19 × 3^3 = 46
46 × 3^4 = 127
127 × 3^5 = 370
Given:
A series of numbers 7, 10, 19, 46, 127.
To Find:
The next term in the series is?
Solution:
The given problem can be solved by developing a common logic between every term.
1. The given series is 7, 10, 19, 46, 127.
2. The second term in the series is obtained as,
=> Second term = 10 = 7 + 3^1. ( First term + 3^1 ).
3. The third term of the series is obtained as,
=>Third term = 19 = 10 + 3^2. ( Second term + 3^2 ).
4. The fourth term of the series is obtained as,
=>Fourth term = 46 = 19 + 3^3. ( Third term + 3^3 ).
5. The fifth term of the series is obtained as,
=>Fifth term = 127 = 46 + 3^4. ( Fourth term + 3^4 ).
6. The sixth term of the series can be obtained using similar logic,
=> Sixth term = Fifth term + 3^5 = 127 + 243 = 370.
Therefore, the next number in the series is 370.