Question

find the 10th term of an A.P 2,8,14
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Answer 1

Answer:

this is in the form of A.P

so, formula: An =A1+(n-1)d

An= either last term or the term that you need to find

A1= 1st term

n= total no. of terms

d=common difference in the series

A10=2+(10-1)6

=2+54

A10 = 56

Ans: 56.

Answer 2

Answer:

Hence value of 10th term will be 56

Step-by-step explanation:

In context to questions asked

We have to determine the value of 10th term of AP

As per questions

We have

2,8,14,...

As here

First term = 2

Common difference = 8 - 2 = 6

So, from the formula of AP

We have expression for nth term,

where n = number of terms

As here,

b = 10

So, expression for nth terms will be,

$nth \: term = a + (n - 1) \times d \\ as \: n \: = 10 \\ = > 10th \: term \: = a + (10 - 1) \times d \\ = > 10th \: term \: = 2 + (10 - 1) \times 6 \\ = > 2 + (9 \times 6) \\ = > 2 + 54 \\ = > 56$