Refer to the image to identify the following: -What is the nth-term formula for the number of tiles in the nth figure of the sequence? -How many tiles are in the 10th  figure of the sequence? -Which figure will consist of exactly 71 tiles?

Q: Find the formula of the general term an of the sequence: 26 24 120 1, 4 '9 ' 16 ' 25

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Q: Find the next three terms (a3, a4, and as) of the following sequence: a1 = 2 and az = 1, and for all…

A: Explanation of the answer is as follows

Q: What is the missing number in the sequence: 21, 34, 55, 89, ___, 233?

A: To find the missing number in the sequence: 21,34,55,89,__,233.

Q: Use the formula for the sum of the first n terms of an arithmetic sequence to find:

A: Given: ∑i=150 4i-25 The sequence is ∑i=150 4i-25=-21,-17,-13, -9.........upto 50th term

Q: In the following sequence, the figures are made of cubes that are glued together. If the exposed…

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Q: Each successive figure below is made of small triangles like the first one in the sequence.…

A: Given that Each successive figure  is made of small triangles like the first figure is an…

Q: A) fine the 23rd term in the sequence with a1=-5 and d=3 B) Find the 32nd term in the sequence with…

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Q: Sum: S12= A) Find the indicated sum. 6 + 9 + 12 + 15 + B) Find the partial sum S₁2 for the…

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Q: a) Write an algebraic expression for the nth term of this sequence. Figure 1 Figure 2 Figure 3 b)…

A: The pattern of the Z counters is given, we have to find the algebraic expression for the nth term of…

Q: A row of houses will be built on the same street. The fourth house is numbered 200 and the last…

A: Here we solve problem based on arihmatic sequence.

Q: in different toys have to be distributed among n chi the number of ways in which these toys can be…

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Q: 1. Expand a) b) about z = 2. about z = -4. f(z) 1 (z − 2)(z + 1) g(z) cos z z+4

A: Please find the Laurent series expansion in the next step. We use existing result too to write the…

Q: A pass word is to have 5 characters, with 3 letters and 2 digits. How many different sequences are…

A: GIvenlength of password = 5 charactersNo.of letters = 26     (i.e., from A to Z)No.of digits = 10…

Q: What would be the nth term formula for the number of tiles in the nth figure of the sequence? -How…

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Q: ? For the sequence 2, 8, 32, ...; Write the formula for the general term and use it to find ts

A: To find the general term and 8th term  of the given sequence :-

Q: Find the first five terms in sequences with the following nth terms n2 +6

A: Consider the given n-th term as n2+6. We know that sequences are functions defined on the set of…

Q: 1. What is the next number in the sequence 1, 2, 4, 7, 11, ? Find the rule an

A: Given sequence 1 , 2 , 4 , 7 , 11 , ......

Q: iven the pattern 12,6,0... Determine the formula for the n(the) term in the sequen

A: To determine the formula for the nth term for the below sequence. 12, 6, 0, ....

Q: For the sequence defined by: a₁ = 1 an+1 = Find: a2= a3 = a4= 4 an -5

A: Given that  and .We have to find the values of .

Q: Given the geometric sequence: 84 1008 an = 7, aj 13 169 find a formula for the n-th term: Question…

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Q: many black balls are need

A: The correct answer is: 200      N.B: For nth term, we need 2n black balls.