The next term of the A.P., $$\sqrt 7 ,$$ $$\sqrt {28} ,$$ $$\sqrt {63} ,$$ . . . . . .
A. $$\sqrt {70} ,$$
B. $$\sqrt {84} ,$$
C. $$\sqrt {97} ,$$
D. $$\sqrt {112} ,$$
Answer: Option D
Solution(By Examveda Team)
$$\eqalign{ & {\text{A}}{\text{.P}}{\text{.}}\,{\text{is}}\,\sqrt 7 ,\,\sqrt {28} ,\,\sqrt {63} ,\,...... \cr & \Rightarrow \sqrt 7 ,\,\sqrt {4 \times 7} ,\,\sqrt {9 \times 7} ,\,..... \cr & \Rightarrow \sqrt 7 ,\,2\sqrt 7 ,\,3\sqrt 7 ,...... \cr & \therefore Here\,\,a = \sqrt 7 \,{\text{and}} \cr & d = 2\sqrt 7 - \sqrt 7 = \sqrt 7 \cr & \therefore {\text{Next}}\,{\text{term}} = 4\sqrt 7 \cr & = \sqrt {\left( {16 \times 7} \right)} \cr & = \sqrt {112} \cr} $$Related Questions on Progressions
Find the first term of an AP whose 8th and 12th terms are respectively 39 and 59.
A. 5
B. 6
C. 4
D. 3
E. 7
The sum of the first 16 terms of an AP whose first term and third term are 5 and 15 respectively is
A. 600
B. 765
C. 640
D. 680
E. 690
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