find the fourth term of an a.p. whose first term is 12 and common difference is -2
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Answer:
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The fourth term of the AP is 6
Given :
For an AP first term is 12 and common difference is - 2
To find :
The fourth 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 2 :
Write down first term and common difference
Here it is given that for an AP first term is 12 and common difference is - 2
First term = a = 12
Common Difference = d = - 2
Step 2 of 2 :
Find fourth term of the AP
The fourth term of the AP
= a₄
= a + ( 4 - 1 )d
= a + 3d
= 12 + 3 × ( - 2 )
= 12 - 6
= 6
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