Question

nth term of the series 3.8 + 6.11 + 9.14 + 12.17.......will be

Answer 1

ur nth term will be


(1875n^2)-(3315n)+5240
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1000

Hope it helps
-Rahul

Answer 2

Answer:

Arithmetic sequence says that:

For any sequence $a_1, a_2, a_3, a_4,...$

The nth term of this sequence is given by:

$a_n = a_1+(n-1)d$              ....[1]

where

$a_1$ is the first term

d is the common difference of two consecutive term

n is the number of terms.

Find the nth term series:

Given the sequence: 3.8+6.11+9.11+12.17+....

This is arithmetic sequence with first term 3.8 and common difference 3.03

⇒$a_1=3.8$ and d = 3.03

Then by [1] we have;

$a_n = 3.8+(n-1)(3.03)$

$a_n = 3.8+3.03n-3.03$

⇒$a_n = 3.8+3.03n-3.03$

Simplify:

$a_n = 3.03n+0.77$

Therefore, nth term of the given series will be: $a_n = 3.03n+0.77$