nth Term of an AP

Suppose a sequence in AP whose first term $-7$ and fifth term is $-27$, then find the value of $20$th term.

An A.p consist of $50$ terms of which $3^{rd}$ term is $12$ and the last term is $106$. Find the ${29}^{th }$term.

The $6$th term of an A.P. is zero. Prove that its $21$st term is triple its $11$th term.

Which term of the AP,$19, 18\frac{1}{5}, 17\frac{2}{5} ,...$ is the first negative term?

Find the middle term of the parallel series $7, 13, 19, ... 241$.

In an A.P., $d=-4$, $a_n=-176$. Find the middle term when $\left(i\right) n$ is odd $\left(ii\right) n$ is even

How many terms are there in AP:

$12x, 10x, 8x, ....., -2x$?

Find three numbers in A.P. so that their sum is $21$ and the product of the last two is $84.$

Common difference of two AP are equal. The first term is $3$ more than the first term of second progression. If $7^{\mathrm{th}}$ term of first progression is $28$ and $8^{\mathrm{th}}$ term of second progression is $29$, find both APs?

Find the $10$th term of the AP : $2, 7, 12, . . .$

For an A.P. if $a_{25}-a_{20}=45$, then find $d$.

The $3^{rd}$ term of an A.P. is $13$ and the last term is $148$. If the common difference is $5$, find the number of terms in the progression.

In an A.P. if the sum of third and seventh term is zero, find its $5th$ term.

The difference between $10 \mathrm{th}$ term and $13 \mathrm{th}$ term of an arithmetic sequence is $5$. What is the difference between $10th$term and $19th$ term?

Given, $a_3=15, S_{10}=125$. Find the value of common difference and first term.

The first term of an arithmetic sequence is $2$ and its $22\mathrm{nd}$ term is $65$. What is the sum of the $4\mathrm{th}$ term and the $19\mathrm{th}$ term of this sequence?

Find $51$ is a term of given A.P. or not where A.P. is $5, 8, 11, 14,$....

Find the tenth term of the sequence:

$\sqrt{2}, \sqrt{8}, \sqrt{18}, ...$

If $7$ times the seventh term of the AP is equal to $5$ times the fifth term, then find the value of its ${12}^{\mathrm{th}}$ term.

Find the value of $a_{25}-a_{15}$ for the AP: $6, 9, 12, 15, \dots \dots \dots ..$