Answer :
Answer:
247
Step-by-step explanation:
1,4,11,26,57,120. see the pattern that emerges from the series:
4–1 = 3; 3–1 = 2 = 2^1
11–4 = 7; 7 - 3 = 4 = 2^2
26 - 11 = 15; 15 - 7 = 8 = 2^3
57 - 26 = 31; 31 - 15 = 16 = 2^4
120 - 57 = 63; 63 - 31 = 32 = 2^5
so the next number should be 64+63 = 127+120 = 247.
check: 247–120 = 127; 127–63 = 64 = 2^6. correct.
so the next number is 247. 2^n+(n-1)
Given sequence;
1, 4, 11, 26, 57, 120, _
The missing term =?
Solution;
We need to find the relationship between each term and then we can find the missing term;
1, 4, 11, 26, 57, 120, _ ;
let us start with the first two;
3 x 2 + 1 = 7 + 4 = 11
7 x 2 + 1 = 15 + 11 = 26
15 x 2 + 1 = 31 + 26 = 57
31 x 2 + 1 = 63 + 57 = 120
63 x 2 + 1 = 127 + 120 = 247
We see this pattern and can conclude that the missing term is 247