write the general term in the series 11, 21, 31, 41, 51.
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Answers
Answer:
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Step-by-step explanation:
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The general term is 10n + 1
Given :
The arithmetic progression 11, 21, 31, 41, 51
To find :
The general term in the series
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, 21, 31, 41, 51
This is an arithmetic series
Step 2 of 3 :
Write down first term and common difference
First term = a = 11
Second term = 21
Common Difference = d = 21 - 11 = 10
Step 3 of 3 :
Find the general term in the series
The general term in the series
= nth term of the series
= a + ( n - 1 )d
= 11 + ( n - 1 ) × 10
= 11 + 10n - 10
= 10n + 1
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