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If the common difference of an AP is -6, then what is a_{16}-

Question

If the common difference of an AP is $- 6,$ then what is $a_{16} - a_{12} ?$

- 24

24

- 30

30

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Elizabeth Discussed

If the common difference of an AP is

- 6,

then what is

a_{16} - a_{12} ?

6 mins ago

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6 mins ago

Text solutionVerified

Given,

d = - 6

a_{16} = a + 15 d

a_{12} = a + 11 d

a_{16} - a_{12} = (a + 15 d) - (a + 11 d) = 4 d

∴ a_{16} - a_{12} = 4 \times - 6 = - 24

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Question Text	If the common difference of an AP is $- 6,$ then what is $a_{16} - a_{12} ?$
Answer Type	Text solution:1
Upvotes	150