Determine whether n+1 converges or diverges. Give reasons for your answer.

Q: 4 Determine whether the sequence is increasing, decreasing, or not monotonic. Is the sequence…

A: A sequence is said to be decreasing and bounded if an>an+1.

Q: 1. The general formula for a sequence is t = 3t₁ - ₁ - n, where t₁ = 3 Find the fourth term.

A:

Q: 10. Let an be a sequence of reals, and be a real. Let bn = lan-ll. Show that an converges to & if…

A: Given a sequence of real numbers an and l is a real number, given bn=an-l.   If a sequence xn…

Q: se polynomial fitting to find the formula for the nth term of the sequence (an)n>0 which starts,…

A:

Q: Use the ratio test to determine whether ∞ n² +9 gn n=21 converges or diverges.

A:

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

A:

Q: Determine the sum of this convergent series.

A: This question can be solved using the concept of infinite geometric progression.

Q: For the sequence an = its first term is its second term is its third term is its fourth term is its…

A: The given sequence

Q: 1 1+ 2/2' 3/38 1 1 + 1 + ... 5/5 +

A:

Q: Use polynomial fitting to find the formula for the nth term of the sequence (an)n>1 which starts, 5,…

A: Given that, the sequence is 5,28,81,188,365,⋯. Find the difference of the sequence as follows, an…

Q: Q4. Either find the smallest positive integer solution to x²29y² = 1, or compute the 9-th convergent…

A: We need to find the smallest positive integer solution to  or compute the  convergent to .We will…