Find the 10th term of the AP: 5, 8, 11, 14,...
Answers
Answer:
10th term=32
Step-by-step explanation:
AP:5,8,11,14,...
a=5, d=8-5=3, n=10
An=a+(n-1)d
A10=5+(10-1)3
A10=5+(9)3
A10=5+27
A10=32
Therefore, the 10th term is 32.
10th term of the AP = 32
Given :
The arithmetic progression 5 , 8 , 11 , 14 , . . .
To find :
10th term of the AP
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 progression
Here the given arithmetic progression is
5 , 8 , 11 , 14 , . . .
Step 2 of 3 :
Write down first term and common difference
First term = a = 5
Common Difference = d = 8 - 5 = 3
Step 3 of 3 :
Find 10th term of the AP
10th term of the AP
= a + ( 10 - 1 )d
= a + 9d
= 5 + [ 9 × 3 ]
= 5 + 27
= 32
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