The common difference of the arithmetic sequence 15, 14, 13, 12,......is 14-15=-1. First term of the sequence is 15 and the `15^(th)` term is `15 + 14 xx-1= 15-14=1`. Similarly the `4^(th)` term is 12 and the `12^(th)` term is 4. Its `16^(th)`term is `x_16 = 15 + 15xx-1= 15-15 = 0`. So the sum of the first 31 terms is also zero. That is if then `n^(th)` term of an arithmetic sequence with common difference -1 is m, then the `m^(th)` term is n and the `(m + n)^(th)` term is zero. `7^(th)` term of an arithmetic sequence is 10 and the `10^(th)` term is 7. What is the common difference?

Read the following Passage. Understand the Mathematical concept in it and answer the questions that follow. Each question carries 1 score. The common difference of the arithmetic sequence 15,14,13,12,...... is 14-15=-1 . First terms of the sequence is 15 and the 15th term is 15+14x-1=15-14=1 . Similarly the 4th term is 12 and the 12^(th) term is 4. Its 16th term is, x_(16)=15+15x-1=15-15=0 . So the sum of the first 31 terms is also zero. that is if the n^(th) is m, then the mth term is n and the (m+n)^(th) term is zero. Seventh term of an arithmetic sequence is 10 and the 10^(th) term is 7. What is the common difference?

23^(rd) term of an arithmetic sequence is 32. 35^(th) term is 104. Then what is the common difference?

The 5^(th) term of an arithmetic sequence is 38 and 8^(th) term is 62. What is the common difference in the sequence?

5^(th) term of an arithmetic sequence is 17 and the 17^(th) term is 5. Which term of the sequence is zero?

The 5^(th) term of an arithmetic sequence is 38 and the 9^(th) term is 66. What is its 25^(th) term?

The 5^(th) term of an arithmetic sequence is 38 and the 9^(th) term is 66. What is its 25^(th) term?

The 10^(th) term of an arithmetic sequence is 65 and its 15^(th) term is 80 . Is 200 a term of this sequence?

The 8^(th) term of an arithmetic sequence is 12 and its 12^(th) term is 8.What is the algebraic expression for this sequence?

The 25^(th) term of an arithmetic sequence is 140 and the 27^(th) term is 166 . What is its common difference? What is its 35^(th) term?

The sum of the first and 21^(th) terms of an arithmetic sequence is 140.What is the 11^(th) term?