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Q.

– 10, – 6, – 2, 2, ... is _________________. 

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a

an AP with d = 4

b

an AP with d = – 4

c

an AP with d = – 16

d

not an AP 

answer is B.

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Detailed Solution

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Given series: – 10, – 6, – 2, 2, ...

We know that in an AP, every next term has a constant common difference from the preceding term.

In the series 10, 6, 2, 2, ..., if the difference between the two consecutive terms is given by:

–6 – (–10) = 4

–2 – (–6) = 4

2 – (–2) = 4 

Here, every next term increase by number 4. 

So, it is an AP with a common difference of 4.

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