Question

quadratic nth term of 10,24,46,76,114,160

please can someone help me out?​

Answer 1

Answer:

Since The sequence is gives as 10,24,46,76,114,160

you will see the following term is not in an AP, It can be an error so taking the first 2 terms 10 and 24

we will have first term (a) = 10 and Common difference (D) = 14

so as nth term = a+ ( n-1) D here n is the number of terms

now, using values we will get the equation as 10+(n-1) ×14 = 10+14n-14

=) 14n -4

so this is the nth term if the arithmetic progression was 10 , 24,38 , 52