For the infinite geometric sequence (xn) whose first four terms are:  1.3, 3.77, 10.933, 31.7057  find the values of the first term a and a common ratio r and write down a common recurrence system for this sequence.  Next, write down a closed form for this sequence and calculate the tenth term in this sequence to 3 dp

Q: Write the first four terms of the of the sequence tn 2tn-1 + 4 where t₁ = 5 P

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Q: a = (k + 1)a, +1 and a =-1 [3] Let be a sequence defined recursively as , find a,, "3, and a..

A: I am attaching image so that you understand each and every step.

Q: For the infinite geometric sequence (xn) whose first four terms are 2.6,  -5.72,  12.584,  -27.6848…

A: Let xn be a infinite geometric sequence. The first four terms are given as, 2.6, -5.72, 12.584,…

Q: Write out the first 5 terms for an algebraic sequence starting with 8 with a rate of change of 4.…

A: The first term  of the sequence is 8 i.e a=8 ,and the rate of change is 4. So, let ratio between the…

Q: A sequence has a recursive formulatn = tn-1+nº, tị = 5. Determine t3.

A: The given recursive formula of the sequence is: tn=tn-1+n3...(1) And t1=5

Q: Write down the first five terms of the following recursively defined sequence. a₁ = -2; an+1 = -2an…

A: In the given problem it has been given that  a1=-2 an+1=-2an+7 the aim is to find the first five…

Q: Find the first file terms of the following sequence bn=(-1) n(4n-4)

A: To determine: first five terms. Given: bn=(-1)n(4n-4)

Q: Can the sequence 2, −4, 8, −16, 32, … be represented by an exponential function? Why or why not?

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