What is the common difference of the arithemetic sequence `x-1,x,x+1`,.......?`

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?

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?

Write the first term and the common difference of the arithemetic sequence whose algebraic expression is 3n+5 .

Write the 6th term of the arithemetic sequence 1,25,49,73,97,.......

The numbers a_(1),a_(2),a_(3),…….. form an arithmetic sequence with a_(1)nea_(2) . The three numbers a_(1),a_(2) and a_(6) form a geometric sequence in that order. Then the common difference of the arithmetic sequence is

Consider the arithmetic sequence 6,11 ,16,21,….. a) Find the common difference. b) Write the algebraic form of the sequence.

Sum of the first 15 terms of an arithmetic sequençe is 495 and sum of first 25 terms is 1325 . i) What is the common difference of this sequence? ii) What is the first term? iii) What is the sum of first n terms of this sequence?

The second term of an arithmetic sequence is 8 and the common difference is 3. What is the 12^(th) term of the sequence?

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

98 is a term of the arithmetic sequence having common difference 7. Is 2016 a term of this sequence. Why ?