For the given sequence 21-16-11-6-1 - which term is equal to -54 -

The correct option is A 16Given : nbsp; 21,16,11,6,1… As 16 21 = 11 16 = 1 6= 5, so the sequence is A.P. with a =21, d = 5 Now, nbsp; T_n = a+(n 1)d ⇒ 54 ...

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Standard XII

Mathematics

nth Term of A.P

For the given...

Question

For the given sequence $21, 16, 11, 6, 1 \dots$ , which term is equal to $- 54$ ?

8

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16

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Solution

The correct option is C $16$
Given : $21, 16, 11, 6, 1 \dots$
As $16 - 21 = 11 - 16 = 1 - 6 = - 5$ , so the sequence is A.P. with $a = 21, d = - 5$
Now,
$T_{n} = a + (n - 1) d \Rightarrow - 54 = 21 + (n - 1) (- 5) ∴ n = 16$

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For the given sequence 21,16,11,6,1…, which term is equal to −54?

The correct option is C 16Given : 21,16,11,6,1… As 16−21=11−16=1−6=−5, so the sequence is A.P. with a=21,d=−5 Now, Tn=a+(n−1)d⇒−54=21+(n−1)(−5)∴n=16

For the given sequence $21, 16, 11, 6, 1 \dots$ , which term is equal to $- 54$ ?

The correct option is C $16$
Given : $21, 16, 11, 6, 1 \dots$
As $16 - 21 = 11 - 16 = 1 - 6 = - 5$ , so the sequence is A.P. with $a = 21, d = - 5$
Now,
$T_{n} = a + (n - 1) d \Rightarrow - 54 = 21 + (n - 1) (- 5) ∴ n = 16$