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Definition of Functions

If tn=nn+13...

Question

If $t_{n} = \frac{n (n + 1)}{3},$ then find the value of $t_{9}$

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Solution

$t_{n} = \frac{n (n + 1)}{3}$

$t_{9} = \frac{9 (9 + 1)}{3}$

$t_{9} = 3 \times 10$

$∴ t_{9} = 30$

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