Answer:
The nth term of the given sequence
[tex]a_{n} = a_{n-1} + (2n-1)[/tex]
Step-by-step explanation:
Explanation:-
Given sequence -5,-4,-1,4,11,20,31
a₀ = -5
a₁ = a₀ +1 = -5 +1 = -4
a₂ = a₁ + 3 = -4+3 = -1
a₃ = a₂ + 5 = -1 +5 = 4
a₄ = a₃ + 7 = 4 + 7 =11
a₅ = a₄ + 9 = 11+9 = 20
a₆ = a₅ + 11 = 20+11 = 31
a₇ = a₆ + 13 = 31 +13 =44
and so on
The nth term of the given sequence
[tex]a_{n} = a_{n-1} + (2n-1)[/tex]
