What is the k+ 1st term of the following summation? k+1 i! (i+2) 21 k!(k+2) 2-1 (k+1)!(k+3) 2 (k+1)! 24-2 (k+ 1)

Q: 1. Find a formula for the sum: 2+ 6+ 10 ... + 2(2n - 1)

A: The given sequence is 2+6+10+... +2(2n–1).

Q: se the summation notation to rewrite the following expression (13 − 9) − (23 − 9) + (33 − 9) − (43…

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Q: Consider the following expression. (2p+39)5 - [(2p)5+ (39)5] 6 (a) Use the binomial theorem to…

A: As we know that a+bn=C0nan+C1nan-1b+…+Cnnbn and nCr=n!n-r!r!.

Q: 2k + 1 k(k +1) k=1

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Q: 1-5+25-125. Write using summation notation

A: It is given that,         1-5+25-125. we have write it into summation notation

Q: 3) (n² + 10n+18) ÷ (n+ 5)

A: To divide the following expression.n2+10n+18÷n+5

Q: What is the summation from n = 1 to infinity, of  (3n+1) / (5n + 4) ?

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Q: Use the summation notation to rewrite the following expression (13 − 9) − (23 − 9) + (33 − 9) − (43…

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Q: Evaluate the summation: 1(11)+2(2!)+3(3!)+...+t(t!); t=3

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Q: και Σ(+1-143) (b) Evaluate the sum i=1

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Q: Write the following expression as a single summation. * (5k? + 9) + 2. (6k? - 1) = 6 . k = 1 k = 1 k…

A: Given: ∑k=1n 5k2+9+2·∑k=1n 6k2-1=∑k=1n

Q: 11 (7 +3n) = Σ

A: The given sum is ∑n=4117+3n We have to find the equivalent expression.

Q: Write using summation notation:(>) 6 4 5 + + 3! 4! 5! 13 -+.. (12)! 3.

A: Given that, The series in term of summation notation is denoted by, Where an is the nth terms of…

Q: Use the summation notation to rewrite the following expression. 7 (7 − 1³) − (7 − 2³) + (7 − 3³) −…

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Q: Use the formula for the sum of the first n integers and/or the formula for the sum of a geometric…

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Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: 12 E (k + 2)(k + 5) k=1

A: Evaluate the sum    ∑k=112k+2k+5