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

23^(rd) term of an arithmetic sequence is 32. 35^(th) term is 104. Then a) What is the common difference? b) Which is the middle term of first 35 terms of this sequence? c) Find the sum of first 35 terms of this sequence.

23^(rd) term of an arithmetic sequence is 32. 35^(th) term is 104. Then which is the middle term of first 35 terms of 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 5^(th) term of an arithmetic sequence is 38 and 8^(th) term is 62. What is the common difference in the sequence?

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?

23rd term of an arithmetic sequence is 32.35th term is 104. Then Find the sum of first 35 terms of this sequence.

The difference between 12^(th) and 8^(th) term of an arithmetic sequence is 20. Find the common difference .

In an arithmetic sequence n^(th) term is m and m^(th) term is n, prove that its common difference is -1.

The ratio between the 4^(th) term and 8^(th) term of an arithmetic sequence is 5: 11 . " "10^(th) term of this sequence is 56 i) What is the common difference of this sequence? ii) Find the 16^(th) term. iii) Find the sum of first 25 terms.