Question

4. 7. 11. 44. 100. ?​

Answer 1

Answer:

235

Step-by-step explanation:

Solution :

Now if we observe it, we get taht difference between the successive two numbers progresses are as:

             (x³+2x) for odd place

             (x³-2x) for even place

Where x starts from 1 and increases by 1 for every term.

             7 - 4 = 3 :  1³ + 2(1)

             11 - 7 = 4 : 2³ - 2(2)

             44 - 11 = 33 : 3³ + 2(3)

             100 - 44 = 56 : 4³ - 2(4)

So for 6 th term, we have:

             A - 100 = 5³ + 2(5)

             A - 100 = 125 + 10

             A - 100 = 135

             A = 135 + 100

             A = 235

Answer:

             So the next term in sequence is 235.

Answer 2

Given: The sequence 4, 7, 11, 44 , 100, ?

To find: The next number.

Solution :

Now if we observe it, we get taht difference between the successive two numbers progresses are as:

(x³+2x) for odd place

(x³-2x) for even place

Where x starts from 1 and increases by 1 for every term.

7 - 4 = 3 : 1³ + 2(1)

11 - 7 = 4 : 2³ - 2(2)

44 - 11 = 33 : 3³ + 2(3)

100 - 44 = 56 : 4³ - 2(4)

So for 6 th term, we have:

A - 100 = 5³ + 2(5)

A - 100 = 125 + 10

A - 100 = 135

A = 135 + 100

A = 235

Answer: So the next term in sequence is 235.