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6. (a) The formula for the nth term of the sequence 2, 15, 48, 110, 210, ...
n(n+1)(3n-1)
2
Find the 9th term.​

Answer :

RakhiBhedke

Answer:

106

Step-by-step explanation:

Here, the given sequence is,

2, 15, 48, 110, 210, ...

d = 15 - 2 = 13

d = 48 - 15 = 13

Therefore, the given sequence is an Arithmetic Progression.

Here, a = 2, d = 13, and n = 9

By using general term formula,

an = a + (n - 1)d

a9 = 2 + (9 - 1)13

a9 = 2 + 104

[tex] \huge{\mathsf{\pink{\boxed{a_9 = 106}}}} [/tex]

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