Math, asked by sharikhzeba1, 3 months ago

6, 10, 14 ... are in Arithmetic progression. Find its 15th term.​


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Answers

Answered by Tan201
22

Answer:

a_{15}=62

Step-by-step explanation:

Given:-

AP = 6, 10, 14...

a=6

d=a_{2}-a\\d=10-6\\d=4

n=15

To find:-

a_{15}

Solution:-

a_{n}=a+(n-1)d\\a_{15}=a+(15-1)d\\aa_{15}=a+14d\\a_{15}=6+(14\times4)\\a_{15}=6+56\\a_{15}=62

∴ The 15th term of the above arithmetic progression is 62.

Answered by HanitaHImesh
10

Given,

The AP: 6,10,14,---

To find,

The 15th term of the AP.

Solution,

The 15th term of 6,10,14,--- will be 62.

According to the question,

The AP: 6,10,14,---

The first term (a) = 6

Common difference(d) = second term - first term

d = 10-6

d = 4

We know that the following formula is used to find the nth term:

an = a+(n-1)d

a15 = 6+(15-1)4

a15 = 6+(14)4

a15 = 6+56

a15 = 62

Hence, the 15th term of 6,10,14,--- is 62.

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