Question

please help me and i will give the brainliest answer

Answer 1

Answer:

aₙ=n(n+2)

Step-by-step explanation:

The sequence:

3, 8, 15, 24, 36, ...

It is easy to notice that:

• a₁= 3= 2²-1
• a₂= 8=3²-1,
• a₃= 15= 4²-1,
• a₄= 24= 5²-1,
• a₅= 35= 6²-1

...

so the nth term is:

• aₙ= (n+1)²-1

or

• aₙ= (n+1)² - 1 = n²+2n = n(n+2)