For the sequence an = an –1 + an – 2 and a1 = 3, a2 = 4, - its first term is its second term is its third term is its fourth term is its fifth term is

Q: The simple formula for a, if the first 5 terms of the sequence {an} are 1, 21, 121, 621, 3121 is:…

A: We are asked to find which is correct for the sequence.

Q: For the sequence an = n +1' its first term is its second term is its third term is its fourth term…

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Q: For the sequence defined by: a1 = 1 5 An+1 = An + 4 Find: a2 az = a4 = II

A: Topic = Sequence

Q: For the sequence an=2(an-1-2) and a1=3, its first term is___ second____ third____ fourth____…

A: Given that: an=2(an-1-2)  and a1=3

Q: For the sequence an = an –1 + an – 2 and a1 = 2, a2 = 3, its first term is its second term is its…

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Q: For the sequence an = 5 + 3 · (n – 1), - its first term is its second term is its third term is its…

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Q: For the sequence an=an−1+an−2an=an−1+an−2 and a1=3,a2=4a1=3,a2=4, its first term is its second…

A: an = an-1 + an-2,     a1=3,  a2=4 We will use this equation repeatedly with different values of n

Q: For the sequence an = 5 – 6 · (n- 1), its first term is its second term is its third term is its…

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Q: For the sequence an = an-1+ an-2 and a1 = 2, a2 = 3, its first term is 2 its second term is 3 its…

A: Recurrence sequence

Q: For the sequence an = an-1+ an-2 and a1 = 3, a2 = 4, its first term is its second term is its third…

A: The sequence an=an-1+an-2 and a1=3, a2=4

Q: For the sequence an = An –1+ an and a1 = 2, a2 = 3, - 2 its first term is its second term is its…

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Q: For the sequence an an –1+ an – 2 and a1 = 5, az = 6, = | its first term is its second term is its…

A: Given : The sequence an = an-1 + an-2 To find : First term, second term, third term, fourth term,…

Q: For the sequence 2, 4, 8, 16 .. ., give a formula for its nth term:

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Q: 2. Use the given nth-term formula to compute the first 10 terms of the sequence. n a. an = а. Зп+1…

A: Given  a. an=n3n+1 b .an=5n+73 c.an=3n2+2n

Q: For the sequence defined by: a1 3D3 3 An+1 - an Find: a2 a3 %3D a4 II II

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Q: Find a closed form solution for the following recursive sequence: An :4an-1+5 for n > 1 with the…

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Q: What would be the 31 st term of the sequence x2, x, 1 А. х28 1 В. x26 C. x28 1 D. x33

A: A geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where…

Q: Given the explicit formula for a sequence, find the first five terms and the 52nd term. 1) а — 41-…

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Q: for the sequence a^n = 2(a^n -1 -2) and a1 = 4 its first term is _______ its second term is…

A: given sequence an = 2(an -1 -2) and a1 = 4 is a recursive relation.

Q: Find a formula for the general term an of the sequence 5 3 4 16 25 where a1 3 16 1* 36 49 , •.. an

A: The given sequence,      -316, 425,-536,649,.......

Q: For the sequence an = an– 1+ an–2 and a1 = 5, a2 = - 5, а2 = 6, its first term is its second term is…

A: Given an=an-1+an-2 a1=5,a2=6

Q: find the indicated term of the sequence. an=(6n/3n2-5)   a19=

A: Given,an = 6n3n2-5a19 = ?for finding a19 substitute n = 19 and find the value

Q: For the sequence an = an-1 + an-2 and a1 = 2, a2 = 3, %3D ts first term is ts second term is ts…

A: Give: an=an-1+an-2  ;   a1=2, a2=3 Since, an is called the nth term  Therefore, First term = a1 = 2…

Q: For the sequence an 2(an-1-2) and a1 = 2, its first term is its second term is its third term is its…

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Q: For the sequence a, = an-1+ an-2 and a1 = 2, a2 = 3, its first term is 1 its second term is 2 its…

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Q: Find an explicit (non-recursive) formula for the sequence 2an 6an-1 = 0, a1 = 5. %3D -

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Q: Express the sequence {an}∞n = 1 as an equivalentsequence of the form {bn}∞n = 3. {2n + 1}∞n = 1

A: 2n+1n=1∞ When n=1, a1=21+1=3 When n=2, a2=22+1=5 When n=3, a3=23+1=7 When n=4, a4=24+1=9 Therefore…

Q: For the sequence an = 4 – 4· (n – 1), - | its first term is its second term is its third term is its…

A: The given sequence is an=4-4n-1To find:a1, a2, a3, a4, a5, d

Q: Suppose the sequence {an} is defined by the explicit formulaan = 1/n, for n = 1, 2, 3, ⋅ ⋅ ⋅. Write…

A: Given:an=1n, n=1,2,3.........a1=?a2=?a3=?a4=?a5=?

Q: For the sequence an = An –1+ an – 2 and a1 = 3, az = 4, its first term is its second term is its…

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Q: Suppose that the 8th term of an arithmetic sequence is -1 and the 20th term is 2. Write the general…

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Q: For the sequence defined by: a1 = 3 1 - 3 An аn +1 Find: a2 аз = II II

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Q: Consider a sequence generated by the formula ​f(n)=3n-9​ starting with ? = ?.

A: Consider a sequence generated by the formula ​f(n)=3n-9​ starting with

Q: For the sequence an = 2 – 6 · (n – 1), its first term is its second term is its third term is its…

A: Given, nth term of the sequence is an = 2 - 6 (n - 1).

Q: 2. Find a formula for the sequence given by In+1 = 4xn – 5xn-1+ 2xn-2 n > 2, 5xn-1+ 2xn-2 n> 2, with…

A: We have  xn+1=4xn-5xn-1+2xn-2   n≥2    ...(i)x0=2,x1=7  and x2=15characteristic equation of (i) is…

Q: For the sequence an = 2(an – 1– 2) and a1 = 3, its first term is its second term is its third term…

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Q: for the sequence a^n = a^n-1 + a^n-2 and a^1 = 3, a^2 = 4, its first term is _________ its second…

A: Note: It is assumed that the sequence is an=an-1 +an-2 and a1=3 , a2=4 .   The nth term of a…

Q: For the sequence an = an –1 + an –2 and a1 = 3, a2 = 4, : 4, its first term is its second term is…

A: Given sequence is an=an-1+an-2   and a1=3, a2=4. Here,   a1 is the first term of the sequence a2 is…

Q: Find the nth term of the sequence. 11. а6 = = -73 -38 and a11 12. аз 3D 19 аnd a15 = -1.7 13. a5 =…

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Q: Suppose that a sequence is defined as follows. dy a1=-4, an = 3an-1+4 or n> 2 List the first four…

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Q: Find the third term of the sequence  {2n^2/3^n-1}from n=1 to ∞

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Q: For the sequence an = an –1 + An – 2 and a1 3, a2 = 4, | its first term is its second term is its…

A: Given, a1 = 3 a2 = 4 an = an-1 + an-2

Q: 2 3 4 5 1'4 9 16 25

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Q: For the sequence defined by: 2 1 - 3 An a1 || аn +1 Find: a2 az = a4 = II

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Q: For the sequence an = An –1 + an – 2 and a1 1, a2 = 2, its first term is its second term is its…

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Q: For the sequence an = an -1+ an – 2 and a1 - 3, а2 4, its first term is its second term is its third…

A: Given  an = an-1+an-2   a1 = 3 , a2 = 4  To find  first five terms

Q: For the sequence a, = an-1+ an-2 and a1 = 2, a2 = 3, its first term is its second term is its third…

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Q: Find the first five terms of the given recursively defined sequence. 2an - 1 + 6 and a₁ = 2 n- a₁ a2…

A: Given     an = 2an-1 + 6    and a1 = 2 We need to find a1, a2, a3, a4, a5

Q: Find the first six terms of the piecewise sequence: S( - 2)" (– 2)" – 3 if n is even an = | 3-1 – 4…

A: n=1 , 3 , 5 are odd, so we use the second piece

Q: For the sequence an = an-1+ an–2 and a1 = 2, a2 = 3, its first term is its second term is its third…

A: We have to find first ,second, third, fourth and fifth for the given sequence: an=an-1+an-2 and…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.