Solutions of Question 1 of Review Exercise 5 of Unit 05: Vectors. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan.
Chose the correct option.
i. If $t_n=6 n+5$ then $t_{n+1}=$
ii. The sum to infinity of the series: $1+\dfrac{2}{3}+\dfrac{6}{3^2}+\dfrac{10}{3^3}+\dfrac{14}{3^4}+\ldots$
iii. Sum the series:$1+2.2+3.2^2+\cdots+100.2^{\prime \prime}$
iv. The $n^{t h}$ term of the series: $1.2+2.3+3.4+\ldots$
v. Sum of $n$ terms of the series whose $n^{t h}$ term is $1+2^n$
vi. Evaluate $\Sigma\left(3+2^r\right)$, where $r=1,2,3, \ldots, 10$
vii. What is the $n$ term of the series: $1+\dfrac{1+2}{2}+\dfrac{1+2+3}{3}+\ldots$
viii. Sum of $n$ terms of the series $1^3+3^3+5^3+7^3+\ldots$