Question

if Xn=3n-2 then find the first term. what is the remainder when the terms are divided by 3​

Answer 1

SOLUTION

GIVEN

$\sf{x_n = 3n - 2}$

TO DETERMINE

• The first term.

• The remainder when the terms are divided by 3

EVALUATION

Here it is given that

$\sf{x_n = 3n - 2}$

First term

$\sf{ = x_1 }$

$\sf{ = (3 \times 1) - 2}$

$\sf{ = 3 - 2}$

$= 1$

Hence first term = 1

Again

$\sf{x_n = 3n - 2}$

Which can be rewritten as

$\sf{x_n = 3(n - 1) + 1}$

Now 3(n-1) is divisible by 3

So the required Remainder = 1

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