Solution: Option (C) 25 is the correct answer. Explanation: Provided, the common difference of AP i.e., d = 5 Now, As it is known, an AP’s nth term is ${{a}_{n\text{ }}}=~a+\left( n-1 \right)d$...

Solution: Option (B) 10th is the correct answer. Explanation: Let the given AP’s nth term be 210. According to question, first term, $a=21$ common difference, $d=42-21=21$and ${{a}_{n}}~=210$ We...

Solution: Option (B) 33 is the correct option. Explanation: It is known that the AP’s nth term is ${{a}_{n\text{ }}}=~a\text{ }+\text{ }\left( n-1 \right)d$ In which, first term = a nth term = an...

Solution: Option (B) 137 is the correct option. Explanation: First two terms of an AP are $a=-3$and${{a}_{2\text{ }}}=~4$. It is known, nth term of an AP is ${{a}_{n\text{ }}}=~a\text{ }+\text{...

Solution: Option (C) – 2, – 4, – 6, – 8 is the correct answer. Explanation: First term, a = – 2 Second Term, d = – 2 ${{a}_{1\text{ }}}=~a=\text{ -}2$ It is known that the AP’s nth term is...

Solution: Option (B) 20 is the correct answer. Explanation: First term, a = – 5 Common difference, $d=5-\left( -5/2 \right)=5/2$ $n\text{ }=\text{ }11$ It is known that the AP’s nth term is...

Solution: Option (B) an AP with d = 4 is the correct answer. Explanation: According to the question, ${{a}_{1\text{ }}}=~\text{ }-10$ ${{a}_{2\text{ }}}=\text{ }-6$ ${{a}_{3\text{ }}}=~\text{ }-2$...

Solution: Option (B) 3.5 is the correct answer. Explanation: It is known that nth term of an AP is ${{a}_{n\text{ }=}}~a+\left( n1 \right)d$ In which, first term = a nth term = an common difference...

Solution: Option (D) 28 is the correct answer. Explanation: It is known that nth term of an AP is ${{a}_{n\text{ }=}}~a+\left( n-1 \right)d$ In which, first term = a nth term = an common difference...