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## Algebra: Sequence and Series Test-1

Congratulations - you have completed Algebra: Sequence and Series Test-1. You scored %%SCORE%% out of %%TOTAL%%. You correct answer percentage: %%PERCENTAGE%% . Your performance has been rated as %%RATING%%
 Question 1
The next number of the sequence
3, 5, 9, 17, 33 ……..is:
 A 65 B 60 C 50 D 49
Question 1 Explanation:
The sequence is 2n+1 Thus the next term is 6th term. 2n+1 = 26+1 = 64+1=65. The correct option is (a)
 Question 2
The next term of the sequence $\displaystyle \frac{1}{2},\,\,3\frac{1}{4},\,\,6,\,\,8\frac{3}{4}........is:$
 A $\displaystyle 10\frac{1}{4}$ B $\displaystyle 10\frac{3}{4}$ C $\displaystyle 11\frac{1}{4}$ D $\displaystyle 11\frac{1}{2}$
Question 2 Explanation:
The general term is
$\frac{2+11(n-1)}{4}$
The 5th term will be
$latex \frac{46}{4}=\frac{23}{2}=11\frac{1}{2}$
 Question 3
Find the missing number of the sequence:
“3, 14, 25, 36, 47, ? ”
 A 1114 B 1111 C 1113 D None of these
Question 3 Explanation:
The general term is 3+11(n-1).
The 6th term is 58.
 Question 4
The sum (101+ 102 + 103 + ….. + 200) is equal to:
 A 15000 B 15025 C 15050 D 25000
Question 4 Explanation:
The given expression = total of all natural numbers till 200- total of all natural numbers till 100.
$\begin{array}{l}=\frac{200(200+1)}{2}-\frac{100(100+1)}{2}\\=20100-5050\\=15050\end{array}$
 Question 5
Which term of the series 72, 63, 54………..is zero?
 A 11th B 10th C 9th D 8th
Question 5 Explanation:
The general term is 72-9(n-1).
Thus,$\displaystyle \begin{array}{l}72-9\left( n-1 \right)=0\\=>72=9(n-1)\\=>n-1=8\\=>n=9\end{array}$.
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