Write first four terms of the AP, when the first term a and the common difference d are given as follows: (i) a = 10, d = 10(ii) a = –2, d = 0
Answers
Step-by-step explanation:
Given :-
Write first four terms of the AP, when the first term a and the common difference d are given as follows.
To Find :-
(i) a = 10, d = 10
(ii) a = –2, d = 0
Answer :-
(i) a = 10, d = 10
First term = a = 10
Common difference = d = 10
Second term = First term + Common difference
= 10 + 10
= 20
Third term = Second term + Common difference
= 20 + 10
= 30
Fourt term = Third term + Common difference
= 30 + 10
= 40
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Hence, the four terms are 10, 20, 30 and 40
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(ii) a = –2, d = 0
First term = a = -2
Common difference = d = 0
Second term = First term + Common difference
= -2 + 0
= -2
Third term = Second term + Common difference
= -2 + 0
= -2
Fourt term = Third term + Common difference.
= -2 + 0
= -2
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Hence, the four terms are :-
-2, -2, -2 and -2
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Solution :
Given:
- (i) = a = 10, d = 10.
To find:
- Fourth term of AP.
Explanation:
We know that, if we are given with the first term of AP and the common difference of AP, then we have the required formula, that is,
- a₄ = a + 3d.
By using the required formula of AP to calculate the fourth term of AP and substituting the given values in the formula, we get:
→ a₄ = 10 + 3 × 10
→ a₄ = 10 + 30
→ a₄ = 40.
Hence, the fourth term of the AP is 40.
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Given:
- (ii) a = -2, d = 0.
To find:
- Fourth term of the AP.
Explanation:
We know that, if we are given with the first term of AP and the common difference of AP, then we have the required formula, that is,
- a₄ = a + 3d.
By using the required formula of AP to calculate the fourth term of AP and substituting the given values in the formula, we get:
→ a₄ = -2 + 3 × 0
→ a₄ = -2 + 0
→ a₄ = -2.
Hence, the fourth term of the AP is -2.