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in Arithmetic Progression by (43.0k points)
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12th term of the sequence 5, 14, 23, …………. is

A) 900 

B) 104 

C) 239 

D) 100

2 Answers

+1 vote
by (57.0k points)
selected by
 
Best answer

Correct option is (B) 104

Given sequence is 5, 14, 23, ......

\(\therefore a_1=5,a_2=14,a_3=23\)

Now \(a_2-a_1=14-5=9,\)

\(a_3-a_2=23-5=9\)

\(\because\) \(a_2-a_1\) \(=a_3-a_2\)

\(\therefore\) Given sequence is an arithmetic progression whose first term is 5 & common difference is 9.

\(\because\) \(a_{12}=a+11d\)        \((\because a_n=a+(n-1)d)\)

\(=5+11\times9\)             \((\because a=a_1=5\;\&\;d=a_2-a_1=9)\)

\(=5+99=104\)

+1 vote
by (43.4k points)

Correct option is B) 104

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