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