Q21. Find the next three terms in eac... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 3: Q21. (page 205)

Find the next three terms in each sequence.
$5, 5, 6, 8, 11, 15, ....$

Short Answer

Expert verified

The next three terms are 20, 26 and 33.

Step by step solution

Step 1. Find the common difference of the corresponding terms.

Calculate the common difference between the corresponding terms to find the pattern of the sequence.

$\begin{matrix} a_{2} 鈭� a_{1} = 5 鈭� 5 = 0 \\ a_{3} 鈭� a_{2} = 6 鈭� 5 = 1 \\ a_{4} 鈭� a_{3} = 8 鈭� 6 = 2 \\ a_{5} 鈭� a_{4} = 11 鈭� 8 = 3 \\ a_{6} 鈭� a_{5} = 15 鈭� 11 = 4 \end{matrix}$

Step 2. Find the trend of the given sequence.

Notice that the difference between each corresponding terms are $0, 1, 2, 3 鈥夆赌塧苍诲鈥夆赌� 4$ .

Thus the difference is increasing by 1 in each next terms.

Step 3. Find the next three terms.

Following the pattern the next three terms are calculated as follows.

$a_{7} 鈭� a_{6} = 5 a_{7} = a_{6} + 5 = 15 + 5 a_{7} = 20 a_{8} 鈭� a_{7} = 6 a_{8} = a_{7} + 6 = 20 + 6 a_{8} = 26 a_{9} 鈭� a_{8} = 7 a_{9} = a_{8} + 7 = 26 + 7 a_{9} = 33$

Therefore, the next three terms of the given sequence are 20, 26 and 33.

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91影视

Find the next three terms in each sequence.
$5, 5, 6, 8, 11, 15, ....$

Short Answer

Step by step solution

Step 1. Find the common difference of the corresponding terms.

Step 2. Find the trend of the given sequence.

Step 3. Find the next three terms.

One App. One Place for Learning.

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91影视

Find the next three terms in each sequence.5,5,6,8,11,15,....

Short Answer

Step by step solution

Step 1. Find the common difference of the corresponding terms.

Step 2. Find the trend of the given sequence.

Step 3. Find the next three terms.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Probability and Statistics

Logic and Functions

Statistics

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Find the next three terms in each sequence.
$5, 5, 6, 8, 11, 15, ....$