The first four term of a different sequence are given below
4 . 10 . 18.28
Q. The nth term of sequence is n(n+p) where p is integer . Find the value of p .
consider that
4 = 1*4
10 = 2*5
18 = 3*6
28 = 4*7
so, what do you think?
p = 3
Thanks alot
To find the value of the integer p in the given sequence, we need to analyze the provided information and find a pattern.
The sequence's first four terms are given as 4, 10, 18, and 28.
We are told that the nth term of the sequence is given by n(n + p), where p is an integer.
Let's substitute the values of n = 1, 2, 3, and 4 into the given expression to obtain the corresponding terms of the sequence:
For n = 1: 1(1 + p) = 1 + p
For n = 2: 2(2 + p) = 4 + 2p
For n = 3: 3(3 + p) = 9 + 3p
For n = 4: 4(4 + p) = 16 + 4p
Comparing these terms with the given first four terms of the sequence, we can form equations to solve for p:
1 + p = 4 (Equation 1)
4 + 2p = 10 (Equation 2)
9 + 3p = 18 (Equation 3)
16 + 4p = 28 (Equation 4)
Solving these equations will help us find the value of p.
From Equation 1, we can calculate:
p = 4 - 1
p = 3
Therefore, the value of p is 3.