Find the sum of the first 150 terms of the arithimetic sequence 6,9/2,3,........

Q: Find the sum of the first 25 terms of the arithmetic sequence: 7, 19, 31, 43, .....

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Q: Find the sum of the finite arithmetic sequence. Sum of the first 130 positive odd integers

A: We know that the sum of n numbers in an arithmetic progression (A.P.) is: Sn=n2a+l where a is the…

Q: What is the 5th term of the sequence defined by the formula Tn=2n2−5n+1.

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Q: Find an explicit formula for the general term an of the sequence. {1,- -/-/- 3 5

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Q: ind the sum of the first eight terms of the sequence 1/8,−1/4,1/2, . . ..

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Q: Find the sum of the first 12 terms of the geometricsequence with first term 48 and common ratio1/2.

A: The geometric sequence is the sequence which is of the form a,ar,ar2,ar3,......  , where a is the…

Q: If the 5th term in a geometric sequence is 25 and the 7th term is 16, what is the common ratio of…

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Q: Find the sum of the first 130 terms of the arithmetic sequence 8, , 7, ....

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Q: Find the sum of the first 5 term of geometric sequence where first term is 3/5 and where common…

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Q: The sum of the first 20 terms of the sequence 0.7, 0.77, 0.777, ... is

A: The given sequence is 0.7,0.77,0.777,...... The sum geometric sequence with common ratio r<1 ,of…

Q: Find the sum of the first eight terms of the sequence 1/8,−1/4 ,1/2 ,.... please show working

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Q: Find with explanation, a diginacci sequence that has no term equal to 11

A: Consider the given explanation. A diginacci sequence is defined as. The first two terms are any…

Q: Find the sum of the first 8 terms of the sequence defined by a, = 4- 3"-1

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Q: 2. The missing term of the geometric sequence 45, [ ],1620, . is ...

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Q: The second term of a geometric sequence is 14 and the sixth term is 224. fin the nth term and assume…

A: we have to find the nth term

Q: Find the first five terms of the recursively defined infinite sequence.

A: Given sequence is: ak+1=ak1k We have, a1=2 We have to find the first five terms in this sequence.

Q: Determine the first five terms of the sequence whose nth term is defined as follow.  ann=(1/2)n-1-8

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Q: What will be the sum of arithemetic sequence with first term a1=1 and second term a2=24

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Q: Is the limit of the ratio of any two successive increasing terms of the Fibonacci sequence.

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Q: Suppose that the sequence {ax} is =0 2, 4, 6, 8, 10, 12, 14, 16, .. What is a1?

A: The given sequence {ak}k=0∞ is -  {ak}k=0∞ = 2,4,6,8,10,12,14,16,18,......... The first tern of the…

Q: Find the 19th term of the geometric sequence with az = 27/4 and as = 729/32 %3D a19 =

A: Topic: Sequence and series

Q: If the sum of second and tenth terms of aritmetic sequence is equal to 12 , find sum of fourth,…

A: Given that the sum of second and tenth terms of arithmetic sequence is equal to 12.  Now in…

Q: There are many examples of the Fibonacci sequence in nature. O True False

A: The Fibonacci numbers, normally abbreviated as Fn are a mathematical collection wherein every…

Q: What is the sum of the first 13 terms of the given geometric sequence: 1,2,4,8,16,

A: To solve this problem, we use  the result of the sum of geometric sequence.

Q: Find the 8th term of the following sequence 6, 12, 24, . . . .

A: series = 6,12,24...   we see that the each value in the series is getting multiplied = 2*previous…

Q: what would the sum be of the first 10 numbers in that series

A: Let's find sum of the series.

Q: Find the sum of the first 15 terms of the geometricsequence with first term 3 and common ratio 2.

A: To find the sum of the first 15 terms of the geometricsequence with first term 3 and common ratio 2.…

Q: Find the sum of the finite arithmetic sequence. Sum of the first 150 positive odd integers

A: To determine the sum of the first 150 positive odd integers.

Q: what is the sum of the first four thousand terms of the geometric sequence with initial term 3 and…

A: Given first term of G.P, a=3 And common ratio, r=-1 Here, r<1 We know that if r<1 then sum of…

Q: Find the sum of the first 20 terms of the sequence. 1, 4, 7, 10, ..

A: By using sum formula, we calculate the required sum of the sequence.

Q: Write the first 7 terms of the Fibonacci type sequence begging with 5,3. State as an exact radical…

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Q: Find the sum of the finite arithmetic sequence. Sum of the integers from  −40 to 50

A: Given  Integer from -40 to 50

Q: the n^th term of the following sequence 1,4,7,10,...is

A: For given sequence a1 = 1 a2= 4 a2 = a1 + 3

Q: If the 4th term and the 14th term of an arithmetic sequence are 13 and 73 respectively, the sum of…

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Q: What is the sum of the first ten terms of the Fibonacci sequence starting with one?

A: To find The sum of the first ten terms of the Fibonacci sequence starting with one.

Q: Find the sum of the first 10 terms of the geometricsequence with first term 5 and common ratio -2.

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Q: Find the sum of the first 10 terms of an arithmetic sequence formed by odd integers starting from…

A: The objective is to find the sum of first 10 terms of an arithmetic sequence formed by odd integers…

Q: Find the sum to the nearest tenth of the first 17 terms of the sequence defined by the recursion a…

A: Given first term ( a ) = 5 Next term of series = 1.1 + an-1 This defines an A.P. with first term of…

Q: What is the general formula for the nth term of the sequence –4, 1, 8, 17, 28, ...?

A: To determine the general formula for the nth term of the following sequence.  –4, 1, 8, 17, 28, ...…

Q: If the sum of second and tenth terms of aritmetic sequence is equal to 12, find sum of fourth, sixth…

A: We will find out the required value.

Q: The fourth term of a geometric sequence is 135 3645 and the seventh term is 4. Find the first 32…

A: Given :                     The fourth term of the geometric sequence is 1354 and seventhterm of…

Q: insert four fractions between the numbers 1 and 3 so that the size numbers (including 1 and 3)…

A: In an Arithmetic Sequence, the difference between one term and the next is a constant. That value…

Q: The first term of an arishmetic sequence is 5 and the common difference is 5 find the nth terms of…

A: The first term of an arithmetic sequence is 5. The common difference is 5. Formula: The n-th term of…

Q: Find the sum of the finite arithmetic sequence. Sum of the first 70 positive odd integers

A: The given question is solved below.

Q: Find the indicated nth partial sum of the arithmetic sequence. 6.3, 6.1, 5.9, 5.7,. . .,   n = 13

A: Given arithmetic sequence is  6.3, 6.1, 5.9, 5.7,...... we are given with arithmetic sequence, so…

Q: Fi

A: Explanation of the solution is given below...

Q: What are the first three terms of the sequence given that the nth-term formula is an=n/(n+1).

A: Given, nth-term of sequence is an=nn+1  find first three terms of the sequence-

Q: Find the sum of the first 8 terms of the sequence. Show all work for full credit. 1, -3, -7, -11,…

A: It is ap.  Use formula of sum of n term of ap.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.