Question

Here is your question :-❤❤


Find the 20th term of the sequence whose nth term is
$an = \frac{n(n - 2)}{n + 3}$

Answer 1

So, the 20th term of the sequence whose nth term is 15.65

THANKS

Answer 2

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A20th term of A.P = a + (20 - 1 )d

As we have to find value of A1 and common difference.

So,

°•° As given An = n(n-2)/(n+3)

Put n=1 = 1(1-2)/(1+3) = -1/4

n=2 = 2(2-2)/(2+3) = 0-(-1/4) = 1/4

n=3 = 3(3-2)/(3+3) = 3/6=1/2

and so on.......

So D = 1/4

A = -1/4

Now apply the formula

A20 = a + 19(d)

= >-1/4 + 19(1/4) = 4.5 = 9/2

so The 20th term is 9/2

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