Finding Sum of an N Terms When Nth Term Is Given

Q.

If the sum of p terms of an AP is qand the sum of q term is p, then the sum of (p + q)terms will be:

1. p + q
2. -(p + q)
3. 0
4. p - q

Q. Determine the $AP$ whose third term is $16$ and the $7^{th}$ term exceeds the $5^{th}$ term by $12$

Q. The $4^{\text{th}}$ and $9^{\text{th}}$ terms of an AP are 18 and 68 respectively. The sum of the first 10 terms of the AP is .

1. -310
2. 330
3. 165

Q. An $AP$ consists of $50$ terms of which $3^{rd}$ term is $12$ and the last term is $106$. Find the ${29}^{th}$ term.

Q.

In an AP, the $p^{th}$ term is q, and the $q^{th}$ term is p. What is the $n^{th}$ term? ( Given $p\ne q$)

1. $p+q-n$

2. $p-q-n$

3. $p+q+n$

4. $-p+q-n$

Q. If pth term of an AP is a and its qth term is b, then what is the sum of the first (p + q) terms of the AP? [4 MARKS]

Q. How many terms of the AP $21,18,15,....$ must be added to get the sum $0$?

Q. If the sum of p terms of an AP is qand the sum of q term is p, then the sum of p + qterms will be:

1. 0
2. p - q
3. p + q
4. -(p + q)

Q. The sum of the $5^{th}$ and the $7^{th}$ terms of an AP is 52 and the ${10}^{th}$ term is 46
then the AP is 1, 6, 11, 16.......
If true then enter $1$ and if false then enter $0$

Q. In an AP, the $p^{th}$ term is q, and the $q^{th}$ term is p. What is the $n^{th}$ term? ( Given $p\ne q$)