Question

What is the next number in the sequence 7,20,47,94,167

Answer 1

Step-by-step explanation:

Here, Just A Simple

1.) Difference between number 20 and 7 so,thus 13(thirteen)is answer [13]

2.) Difference between number 47 and 20 so,thus 27 is answer [27]

3.)Difference between number 94 and 47 so,thus 47 is answer [47]

4.)Difference between number 94 and 167 so,thus 73 is answer [73]

According to sequence differences are followed….13,27,47,73

Again this above sequence differences are followed …27-13=14 ; 47-27=20 ; 73-47=26 Thus, 14,20,26,next is 32

So 32+73=105 ,

According to questioning sequence 167+105=272

Here finel sequence in Difference same》 (6)

☆》7,20,47,94,167,272

☆》13,27,47,73,105

☆》14,20,26,32

☆》 6,6,6,6

I'm explaining as simple way i hope these sequence understand how it ,,,

7,20,47,94,167,272,415,602….

Answer 2

Solution :-

Logic :- T(n) = n³ + (n + 1)(n + 2)

Explanation :-

→ 1³ + (1 + 1)(1 + 2) = 1 + 2 * 3 = 1 + 6 = 7

→ 2³ + (2 + 1)(2 + 2) = 8 + 3 * 4 = 8 + 12 = 20

→ 3³ + (3 + 1)(3 + 2) = 27 + 4 * 5 = 27 + 20 = 47

→ 4³ + (4 + 1)(4 + 2) = 64 + 5 * 6 = 64 + 30 = 94

→ 5³ + (5 + 1)(5 + 2) = 125 + 6 * 7 = 125 + 42 = 167

→ 6³ + (6 + 1)(6 + 2) = 216 + 7 * 8 = 216 + 56 = 272 (Ans.)

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