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The first four terms of an AP whose first term is -2 and common difference is -2 are : A. -2 , 0,2,4 B. - 2,4 , -8,-16 C . - 2 , - 4,- 6 , - 8 D. - 2,- 4 , - 8,- 16?
Most Upvoted Answer
The first four terms of an AP whose first term is -2 and common differ...
First term = -2
Common difference = -2
So , first term = a
i.e, a = -2
Second term of an AP = a + d
-2 + ( -2)
-2 -2 = -4
Third term of an AP = a + 2d
-2 + 2 × ( -2)
-2 - 4 = -6
Fourth term of an AP = a + 3d
-2 + 3 × ( -2)
-2 - 6
= -8
Option (C) is the correct answer .
Common difference = -2
So , first term = a
i.e, a = -2
Second term of an AP = a + d
-2 + ( -2)
-2 -2 = -4
Third term of an AP = a + 2d
-2 + 2 × ( -2)
-2 - 4 = -6
Fourth term of an AP = a + 3d
-2 + 3 × ( -2)
-2 - 6
= -8
Option (C) is the correct answer .
Community Answer
The first four terms of an AP whose first term is -2 and common differ...
Solution:
Given that the first term of the AP is -2 and the common difference is -2. We need to find the first four terms of the AP.
Let us use the formula to find the nth term of an AP
aₙ = a + (n-1)d
where a is the first term, d is the common difference and n is the number of terms.
Using the formula to find the first four terms of the AP:
a₁ = -2
d = -2
a₂ = a₁ + d = -2 - 2 = -4
a₃ = a₂ + d = -4 - 2 = -6
a₄ = a₃ + d = -6 - 2 = -8
Therefore, the first four terms of the AP are -2, -4, -6, -8.
So, the correct option is (C) -2, -4, -6, -8.
Hence, the answer is option (C).
Given that the first term of the AP is -2 and the common difference is -2. We need to find the first four terms of the AP.
Let us use the formula to find the nth term of an AP
aₙ = a + (n-1)d
where a is the first term, d is the common difference and n is the number of terms.
Using the formula to find the first four terms of the AP:
a₁ = -2
d = -2
a₂ = a₁ + d = -2 - 2 = -4
a₃ = a₂ + d = -4 - 2 = -6
a₄ = a₃ + d = -6 - 2 = -8
Therefore, the first four terms of the AP are -2, -4, -6, -8.
So, the correct option is (C) -2, -4, -6, -8.
Hence, the answer is option (C).
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The first four terms of an AP whose first term is -2 and common difference is -2 are : A. -2 , 0,2,4 B. - 2,4 , -8,-16 C . - 2 , - 4,- 6 , - 8 D. - 2,- 4 , - 8,- 16?
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The first four terms of an AP whose first term is -2 and common difference is -2 are : A. -2 , 0,2,4 B. - 2,4 , -8,-16 C . - 2 , - 4,- 6 , - 8 D. - 2,- 4 , - 8,- 16? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The first four terms of an AP whose first term is -2 and common difference is -2 are : A. -2 , 0,2,4 B. - 2,4 , -8,-16 C . - 2 , - 4,- 6 , - 8 D. - 2,- 4 , - 8,- 16? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The first four terms of an AP whose first term is -2 and common difference is -2 are : A. -2 , 0,2,4 B. - 2,4 , -8,-16 C . - 2 , - 4,- 6 , - 8 D. - 2,- 4 , - 8,- 16?.
The first four terms of an AP whose first term is -2 and common difference is -2 are : A. -2 , 0,2,4 B. - 2,4 , -8,-16 C . - 2 , - 4,- 6 , - 8 D. - 2,- 4 , - 8,- 16? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The first four terms of an AP whose first term is -2 and common difference is -2 are : A. -2 , 0,2,4 B. - 2,4 , -8,-16 C . - 2 , - 4,- 6 , - 8 D. - 2,- 4 , - 8,- 16? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The first four terms of an AP whose first term is -2 and common difference is -2 are : A. -2 , 0,2,4 B. - 2,4 , -8,-16 C . - 2 , - 4,- 6 , - 8 D. - 2,- 4 , - 8,- 16?.
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