Question

Find the next term of the sequence:

$0.5,2,3.5,5,..........$

• A. $5.5$
• B. $6$
• C. $6.5$
• D. $7$

Answer 1

Answer: (C)

$6.5$

Given series is $0.5,2,3.5,5,.......$

Here,

$2-0.5=1.5$
$3.5-2=1.5$
$5-3.5=1.5$
This shows that the difference of a term and the preceding term is same.

Thus, the given sequence forms an AP with first term $a=0.5$ and common difference $d=1.5$
So, fifth term $t_5=a+4d=0.5+4\times 1.5=6.5$

Hence, the answer is $6.5$.