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The list of number -10, -6, -2, 2, … is...

The list of number -10, -6, -2, 2, … is

A

an AP with d = -16

B

an AP with d = 4

C

an AP with d = -4

D

not an AP

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The correct Answer is:
B
The given numbers are `-10, -6, -2, 2, ….`
Here `a_(1)=-10, a_(2)= -6, a_(3)= -2` and `a_(4)=2, ….`
Since, `a_(2) - a_(1)= -6-(-10) = -6 +10=4`
`a_(3) - a_(2) = -2-(-6)= -2+6=4`
`a_(4) - a_(3)=2-(-2)=2+2=4`
… … … … … …
… … ... ... ... ...
... ... ... ... ... ...
Each successive term of given list has same difference i.e., 4.
So, the given list forms an AP with common difference, d = 4.
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NCERT EXEMPLAR-ARITHMETIC PROGRESSIONS-Arithmetic Progressions
  1. In an AP, if d = -4, n = 7 and a(n) = 4, then a is equal to

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  2. In an AP, if a = 3.5, d = 0 and n = 101, then a(n) will be

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  3. The list of number -10, -6, -2, 2, … is

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  4. The 11th term of an AP -5, (-5)/(2), 0, (5)/(2), …

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  5. The first four terms of an A.P. whose first term is -2 and the common ...

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  6. The 21st term of an AP whose first two terms are -3 and 4, is

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  7. If the 2nd term of an AP is 13 and 5th term is 25, what is its 7th ter...

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  8. Which term of an AP : 21, 42, 63, 84, … is 210 ?

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  9. If the common difference of an AP is 5, then what is a(18)-a(13) ?

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  10. What is the common difference of an AP in which a(18)-a(14)=32?

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  11. Two APs have the same common difference. The first term of one of the...

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  12. If 7 times the 7th term of an AP is equal to 11 times its 11th term, t...

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  13. The 4th term from the end of an AP -11, -8, -5, …, 49 is

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  14. The famous mathematician associated with finding the sum of the first ...

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  15. If the first term of an AP is -5 and the common difference is 2, then ...

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  16. The sum of first 16 terms of the AP 10, 6, 2, … is

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  17. In an AP, if a = 1, a(n)= 20 and S(n) = 399, then n is equal to

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  18. The sum of first five multiples of 3 is

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  19. Which of the following form of an AP ? Justify Your answer. (i) -1,-...

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  20. Justify whether it is true to say that -1, (-3)/(2), -2, (5)/(2), … ...

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