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The Sum of Geometric Sequence. Investigation 3: The sides of a square are 16 inches in length. A new square is formed by connecting the midpoints of the sides of the original square, and two of the triangles are shaded (See figure in GSP applet). If this process is …
arithmetic sequence problems

[DOC File]Arithmetic and Geometric Sequences
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Prove that the sum of the first n terms of an arithmetic series is (3 marks) b Hence, or otherwise, find the sum of the first 200 odd numbers. (2 marks) 4 Jacob is making some patterns out of squares. The first 3 patterns in the sequence are shown. Figure 1. a Find an expression, in terms of n, for the number of squares required to make pattern ...
arithmetic series formula

[DOC File]WORKSHEET: Arithmetic Sequence & Series Word Problems
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The sum of the first . k . terms in the sequence is 118 096. (c)Find the value of k. (3) (Total 6 marks) 2. A geometric sequence has 1024 as its first term and 128 as its fourth term. (a)Show that the common ratio is . (2) (b)Find the value of the eleventh term. (2) (c)Find the sum of the first eight terms. (3) (d)Find the number of terms in ...
arithmetic and geometric sequences

[DOCX File]IB Survival - Home
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Find the 7th term in the following sequence: 6, 18, 54, 162, … Finding the common ratio can be harder than finding the common difference. One way to find it is the divide each term by the term before it., , So the common ratio is 3. So the 7th term of the sequence is 4, 374. Example: Find the 8th term in the following sequence: 96, 48, 24, 12 ...
arithmetic sequence formula

[DOC File]Lesson Plan: Geometric Sequences
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A sequence is a function whose domain is a set of positive integers. If a domain is not specified, it is understood that the domain starts with 1 .The values in the range are called the terms of the sequence.
finding sum of geometric sequence

[DOC File]Arithmetic Sequences
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Determine whether a sequence is geometric. Find a formula for a geometric sequence. Find the nth term of a geometric sequence. Find the sum of a finite geometric sequence. Use a geometric sequence to solve an application problem. Motivation & Warm up discussion: Begin by considering a real-life example which generates numbers that form a ...
sequence sum calculator

[DOC File]Worksheet 66 (12
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To find the sum of a certain number of terms of an arithmetic sequence: The sum of an arithmetic series is found by multiplying the number of terms times the average of the first and last terms. where Sn is the sum of n terms (nth partial sum), a1 is the first term, an is the nth term.
arithmetic sum

How to Find the Sum of an Arithmetic Sequence: 10 Steps
A series is the indicated sum of a sequence. The sum of the first n terms of an arithmetic series is given by, where n tells the number of terms, a1 is the first term of the sequence, and an is the last term of the sequence. Finding the sum of a given arithmetic sequence: 1. Identify a1, n, and d for the sequence. 2. Find an using an = a1 + (n ...
sum of an arithmetic sequence

[DOC File]LESSON PLAN (WEEK 14) - Arizona State University
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An arithmetic sequence has a 10th term of 17 and a 14th term of 30. Find the common difference. Find the sum of the first 100 odd numbers. Find the sum of the positive terms of the arithmetic sequence 85, 78, 71, … The second term of an arithmetic sequence is 7. The sum …
arithmetic sequence problems

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A concert choir is arranged, per row, according to an arithmetic sequence. There are 20 singers in the fourth row and 32 singers in the eighth row. (a)Find the common difference of this arithmetic sequence.
arithmetic series formula

Find the sum of a sequence