Question

The nth term of a sequence is 2n^2 + 5n - 5
Work out the 10th term of the sequence.

Answer 1

245

Explanation:

You are given the nth term so all you need to do is substitute the value asked. since they are asking for the 10th term, I'm going to replace n with 10.

Tn = 2n² +5n - 5

T10 = 2×10² + 5×10 -5

T10 = 200 + 50 -5

T10 = 250 - 5

T10 = 245

Answer 2

245

Explanation:

We are told that the nth term of the sequence is given by the equation:

`a_n=2n^2+5n-5`

To find the 10th term of the sequence, substitute n = 10 into the equation and solve:

`\implies a_(10)=2(10)^2+5(10)-5`

`\implies a_(10)=2\cdot 100+50-5`

`\implies a_(10)=200+50-5`

`\implies a_(10)=245`