Math, asked by bindupareek6727, 11 months ago

11+17+23.....is 551 which term of the series

Answers

Answered by ruchijain3112
4

Answer:

marj it as brainliest answer

Attachments:
Answered by pulakmath007
9

551 is 91th term of the series 11 + 17 + 23 + . . .

Given :

The series 11 + 17 + 23 + . . . .

To find :

Which term of the series is 551

Concept :

If in an arithmetic progression

First term = a

Common difference = d

Then nth term of the AP

= a + (n - 1)d

Solution :

Step 1 of 3 :

Write down the given series

Here the given series is

11 + 17 + 23 + . . . .

This is an arithmetic series

Step 2 of 3 :

Write down first term and common difference

First term = a = 11

Common Difference = d = 17 - 11 = 6

Step 3 of 3 :

Find which term of the series is 551

If possible let nth term of the series is 551

Then nth term of the series = 551

a + (n - 1)d = 551

⇒ 11 + (n - 1) × 6 = 551

⇒ 11 + 6n - 6 = 551

⇒ 6n + 5 = 551

⇒ 6n = 551 - 5

⇒ 6n = 546

⇒ n = 546/6

⇒ n = 91

Hence 551 is 91th term of the series 11 + 17 + 23 + . . . .

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