Consider two sequences starting with the following terms: (i) a1=100, a2-87, a3=74, (ii) a1=1, az=, a3=6 Let S, denote the sum of the first n terms of a given sequence. Out of these two sequences given above, identify the geometric sequeice. Find S4 correct to 4 decimal places for the geometric sequence.

Q: The first five terms of the sequence  are: 5,

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Q: C1 = -5, C, = 3c,-1 – 2 : ...

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Q: What is the next term of the given sequence: 1, -4, 9, -16, 25, -45 -19 O -36 O -25

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Q: find formulla for the sequence"3/6,8/25,15/62,24/123,35/214" -

A: Given sequence

Q: Find the sum of the first 40 terms of the sequence 9, 18, 27, 36, ...

A: 9, 18, 27, 36, ........ It is an arithmetic sequence with, First term=a=9Common difference=d=9

Q: The first four terms of a sequence are given: 23, 21, 19, 17..., find the 50th term of the sequence.

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Q: Calculate the first 5 terms of the sequence an = Factions and as decimals to 3dp. (1+)", expressing…

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Q: Identify the 7th term of the sequence: 4, 20, 100, .... * O 65,200 315,200 O 62,500 O 312,500

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Q: What is the 9th term of the sequence 6, 42, 294, 2058, ..?

A: First Term = 6 Second Term = 42 Third Term = 294 Fourth Term = 2058   Common Ratio = 42/6 = 7 The…

Q: Find the sum of the first 14 terms of the geometric sequence: , 3, -6, 12, ...

A: Given geometric sequence is,

Q: Find the first 4 terms and the 12th term of the geometric sequence: n а, 3D 1024|

A: We are given the following geometric series.               an=102412n Now,…

Q: What is the next term for the sequence 1, 5, 11, 17, 33, 61, ...

A: The pattern in a sequence of numbers determines the next number in the pattern. The pattern is…

Q: Find the sum of the 3rd and the 7th term of the sequence: 1, 4, 13, 40, 121, ...

A: We have to find the sum of 3rd term and 7th term of the given sequence.

Q: Insert three numbers between 5 and 80 so as to give five numbers in a geometric sequence.

A: Geometric sequence means ratio of two consecutive number is same.

Q: 6. Find the first 4 terms and the 12th term of the geometric sequence: a, =100,000 and r = -0.2 ɑ1 =…

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Q: The sum of the fırst ten terms of this sequence 2.5, 1.25, 0.625, ... is Round answer to three…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.