Find the 15th term of the geometric 1,2,4, .. O 65, 536 O 8, 192 O 16, 384 O 32,768

Q: The 10th term of an A.P is 52 and 16th term is 82. Find the 32nd term and the general term.

A: Given: 10th term= 52 16th term= 82

Q: Find 10th term of the A.P. 1, 4, 7, 10

A: Consider the given terms of the A.P. 1 , 4 , 7 , 10 The first terms of the A.P. is, a=1 The common…

Q: {10, 11, 12, 13, 14, ...} Assume the first term is a1. An

A:

Q: Q5. This question has two sub-questions. (a) Using the letters C, A, E,G, I, K (allowing…

A: Given information: For part (a),  The total number of letters C, A, E, G, I, K are n = 6 are…

Q: If an = 7+ (-1)", list the first five terms of an, starting with n = 1: {a1, a2, a3, a4, a5}

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Q: 88 is the term of 1, 4,7, .

A: We are given a sequence :1, 4, 7........ Which is an Arithmetic Progression because the different…

Q: Find the formula for the nth term. 6, 11, 18, 27, 38, 51, ..

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Q: Find the 75th term of the AP 6,6–,7,7–,8....Va² +b? 2

A: Given,         The 75th term of the AP sequence 6 , 612 , 7 , 712 , 8.....a2+b2We know that,…

Q: The general combinatorial formula for the nth triangular number (1, 3, 6, 10, 15, 21, .) is On+1Cn…

A:

Q: • Suppose repetitions are not permitted. (a) Find the number of three-digit numbers that can be…

A: There are several powerful methods for counting objects and sets of objects without actually having…

Q: 6. Find the number of different 8-letter arrangements that can be made from the letters of the word…

A: 6. A. We need find the different 8-letter arrangements where all vowels occur together. Total number…

Q: How many permuations are possible without repeats for P(5,3) O 60 O 125

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Q: Find the fourth term m the papansion of

A: 1-23x36 use the binomial theorem a+bn=∑i=0nnian-ibi 1-2x336=∑i=066i· 16-i-2x33i

Q: Find the nth term of the following 1.) 1, 4, 16, 64, . . . 2.) 3, 1, -1, -3, 3.) 2, 2 1/3, 2 2/3, 3,…

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Q: 1. Find the 12th term of 8, 3, -2,...

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Q: Determine the pattern and find the missing term in each of the 1,1,1,3,5,9,17,31,_,_,_

A: Given pattern is: 1, 1, 1, 3, 5, 9, 17, 31, ....... Now we find that, 3 = 1 + 1 + 1 5 = 3 + 1 + 1 9…

Q: 67. lim (In n)? n-00

A: Given that: limn→∞ ln n2n =0 To find: Prove the given limit.

Q: Investigate the relationship of Fibonacci numbers with the Golder ratio. 1,1, 2, 3, 5, 8, 13, 21,…

A: To find out the answers of the parts A, B and C.

Q: Identify the LCD of the given pair of fractions

A: Given fraction are,

Q: 15) Determine the number of boxes in the nth term of the image below:

A:

Q: 1)How many terms are included in the list 2, 7, 12, 17.,147?

A: We have to find number of terms in the given arithmetic sequence: 2, 7, 12, 17, ..., 147 Here in the…

Q: find the nth term of 1/2, 1/4, 1/6, ... , n = 7

A:

Q: Use mathematical induction to show that the given statement is truc n² – n + 41 is odd for all…

A: To solve the problem using induction

Q: Find the sum of all four-digit numbers that can be formed by the digits 1, 3, 5, 7, 9 without…

A: Answer: Option b)  666600

Q: th Find the 66 term of the following arithmetic se 2, 10, 18, 26, ..

A: Given : 2 , 10 , 18 , 26 , ....... n = 66

Q: Find the formula for the nth term of the arithmetic sequ 3, 6, 9, ... an ||

A: Given arithmetic sequence is The first term of the sequence is a=3  and common difference is…

Q: Find the 9th, 24th, and nth terms of In 6, In 36, In 216, ... ag 3D a24= %3D %3D

A: Explanation of the solution is given below.. And using the logarithmic property....

Q: A computer password is to consist of five alphanumeric characters with no repeats. (An alphanumeric…

A: We have given that A computer password is to consist of five alphanumeric characters with no…

Q: Assume that the sum of the digits of a number, n, in base 10, equals to 16. Example: n= 97 is one…

A:

Q: 8n? a prime number for every n = 1, 2, 3, . ...

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Q: Find the 10th term in the 15th row of Pascal's triangle.

A: We will find out the required term .

Q: Using the digits 0 through 8, find the number of different 5-digit numbers such that: (ANSWER…

A: While selecting the cases if the order of the selection matters then it is considered as permutation…

Q: 16. Determine the value of n in simplest form: 1" +i"

A:

Q: Prove that 2^? +3^? is a multiple of 5 for all odd ?∈N.

A: We will solve this problem using principle of mathematical induction.

Q: The number of primes of the form n³ – 1 is 1) 1 2) 2 3) Infinite

A: To choose correct option

Q: If 3rd and 9th term of an A.P. are 4 and -8 respectively

A:

Q: If the 2nd, 3rd  and 4th term in a GP are 12, 36 and 108   What is the 1st term and the common ratio

A: It is given that, the 2nd, 3rd and 4th term in a GP is 12, 36 and 108.

Q: n that includes all terms up to

A: The initial value problem is , w''+7xw'-w=0. It is given that w0=6, w'0=0. w''+7xw'-w=0. To find the…

Q: Use inductive reasoning to predict the next number in each of the following lists. 3,6,9,12,15

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Q: Find the sum of all integers from 41 to 83. The sum of all integers from 41 to 83 is

A: Detailed Solution and Explanation is given below....

Q: Find the 60" term of the following arithmetic sequenc th 15, 22, 29, 36, ...

A:

Q: find the nth term of 1/5, 1/10, 1/15, ... , n = 10

A: In this question we have to find the nth term where n is 10.

Q: There are 8 seats in the first row of a theater, 12 seats in the second row, and 16 seats in the…

A: Given ,  There are 8 seats in the first row of a theater , 12 seats in the second row , and 16 seats…

Q: Find 3 values of n such that phi(n)= 120

A: According to the given information, it is required to determine the values of n such that:

Q: 30. What are the first five terms in the recursive seguence defined by 02 3 O 12, 3, -1, -4,-53 O…

A:

Q: The 2nd, 31st and last term of A.P. are 7, 4 2 and – 6, respectively. Find the first term and the…

A: We have to find the last term and number of terms.