... at verifies the identity. OC. B. sin 9x cos 7x - cos 9x sin 7x = sin (9x – 7x) = sin 2x sin 9x cos 7x - cos 9x sin 7x = sin (9x • 7x) = sin 2x

Q: -2,-7,-12,.

A: Here we have, -2, -7, -12, .................. ⇒a1=-2, a2=-7, a3=-12, ......... The given series is…

Q: C1 = -5, C, = 3c,-1 – 2 : ...

A:

Q: a. -10, 30, -90, 270, -810 b. -13, -16, -19, -22, -25 c. -10, -13, -16, -19, -22 d. -10, -7, -4, -1,…

A: To find the first five terms of the given sequence.

Q: Let A be a non-empty set of positive numbers, which is bounded above and let B = {x e R: 1/xe A}. 1…

A:

Q: first 5 terms of Sequence defined +1=1/50x a = 625 ax + K a

A:

Q: 9 16 2' 3' 25 What is the 30th term of the sequence 4, -- -

A:

Q: 1,0,

A: Given: The sequence is 0 , 1-e11+ e2 , 1- e21+ e3 , 1- e31+ e4  , 1- e41+ e5 , .  . .

Q: 1. Prove by definition that the sequence {1/√n}1 is convergent. Also find its limit. 2. Prove that…

A: (1) we need to prove by definition that the sequence {1/√n} is convergent and find the limit of the…

Q: Write the first three terms of the sequence defined by a₁ = 2, 2a, +3 an +1 = an +2 'n

A:

Q: Identify which sequences have a common difference of 3 ..

A: We have to identify which sequences have a common difference of 3. Common difference in Arithmetic…

Q: Find a 17 in the sequence 5, -10, 20, -40 ...

A:

Q: Determine which is the arithmetic sequence a 1.3.4.8.9 b. 3. 6. 12, 24,48 2.5, 8, 11, 14.17 C d.…

A: Arithmetic sequence: If the difference between the second term and the first term for each term is…

Q: 5,2,5,2,.. O 4.=4(a)-2 a, = 6(a) a, =7-a

A: Here we find the correct recursion for for given sequence,

Q: 10 13 4, 10 ' 3 4) 5.

A: Basically, there are two rules that are the rule of addition or subtraction and the rule of…

Q: (1 + V5)" – (1 – V5)" 5 1 Gn = 2" TABLE command on a graphing calculator to find the first ten terms…

A: Given that Gn=15(1+5)n-(1-5)n2nUsing a calculator we…

Q: Find a convergent subsequence of the sequence { (-₁ (₁-4). -1)"

A: Let xn=(-1)n(1-1n). Then x2n=(-1)2n(1-12n)=1-12n.

Q: an

A:

Q: C1 = -5, Cn = 5cn–1 – 3: -5 -5 8

A: To find the first four terms of the  sequence, we substitute n=2,3,4 in the given sequence and…

Q: 2 3 4 5 1'2' 4'8'

A: topic - formula for sequence