There are (4n+ 1) terms in a certain sequence of which the first (2n+1) terms form an A.P. of common difference 2 and the last (2n + 1) terms are in G.P. of common ratio 1/2. If the middle term of both A.P. and

Q: (a) How many three-digit nos. can be formed from the digits 0.1.2.3.4.5 & 6 if each digit can be…

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Q: There are (4n + 1) terms in a certain sequence of which the first (2n + 1) terms form an A.P. of…

A:

Q: Give the common ratio of the * sequence 10, 2, 2/5 , .... O 1/ 5 O 5 O -5 O - 1/ 5

A: common ratio is the ratio of particular term to previous term.

Q: If there are (2n+1) term in AP.then prove that the ratio of the sum of odd terms and the sum of even…

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Q: 14) Find a remainder after dividing 2300 on 3.

A: We have, 22≡1 (mod 3) ⇒22150=1150( mod 3) ⇒2300=1(mod 3)

Q: 3. Find the Sum of the first 25 terms of: 32, 28, 24, 20,...

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Q: Evaluate the infinite simple continued fraction [1; 2, 3, 1]

A:

Q: What is the value of the product of the golden ratio p and (1 -)? O 1 -1

A: We will solve the following

Q: 2. Consider the following sequence of equations involving Fibonacci numbers: 1+2=3 1+2+5=8 1+2+5+ 13…

A: Solution:

Q: 8. (a) How many integers from 1 through 1000 are multiples of 11 ? (b) How many integers from 1…

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Q: Is there any derivation of the formula of permutation and combination?

A: Derivation for the formula of permutation and combination . Permutation : (Arrangement of r things…

Q: e to Parents_Students Pa X + ourses/16936/quizzes/106702/take/questions/2487967 School Others…

A: A detailed solution is given below.

Q: ommon e 2 and the last (2m + 1) erm /2. If the middle term of both A. P. and G. P.

A:

Q: For the series 3 + 6 + 12 + 24 +…, S11

A: Let us consider the geometric sequence  a,ar,ar2,....... n terms  where a is first term and r is…

Q: IF N{A} = 3 and N{B} = 5 what is the largest number possible for N{A⋂B}

A: N(A)=3N(B)=5

Q: A ternary digit is either 0, 1, or 2. How many sequences of nine ternary digits are possible…

A: The ternary digit is either 0 or 1 or 2.

Q: We are given the continued fraction expansion for the square root of 89: [9; 2, 3, 3, 2, 18, 2, 3,…

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A: Since the number of infections can grow geometrically. The number of infections on day 1 is 1=a. The…

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Q: 3. Find the greatest common divisor and least common multiple of a = 2338712132 and b = 365511²13.

A: a = 2338712132    = 233850712110132 b = 365511213    = 20365570112131

Q: For the Gp 20,5,1/4 find the common ratio N term Sum of the first 5 terms

A: Given: - The Gp is, 20,5,14 To find: - The common ratio N term sum of the first 5terms.