Question

7; p; -3;q;...

Answer 1

The value of p and q is 2 , -8 , The nth term of the series is given by  3 * n² + n-2 ,  the 40th term is 4838 .

What is a quadratic Sequence ?

A sequence which has n term in its sequence , The difference of the consecutive number is not same , its second difference is same.

The sequence is given as 7; p; -3;q;...

for a linear pattern

7-p = p- (-3) = -3-q

2p = 4

p = 2

and

2+3 = -3 -q

5 +3 = -q

q = -8

The value of p and q is 2 , -8

A quadratic sequence is defined as 2; 12; 28; 50

The next two terms are 77 and 112.

3. The T40 of the sequence is

The nth term of the series is given by

3 * n² + n-2

therefore 40th term is

3 *40² + 40-2

3 *1600 +38

4838

Therefore the 40th term is 4838 .

To know more about Quadratic Sequence

brainly.com/question/22412845

#SPJ1