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Chapter 8: Problem 4

Write the first six terms of each arithmetic sequence. $$a_{1}=-8, d=5$$

Short Answer

Expert verified
The first six terms of the arithmetic sequence are -8, -3, 2, 7, 12 and 17

Step by step solution

01

Title: Calculation of the Second Term

Calculate the second term using the formula: \(a_{2}=a_{1}+(2-1) \cdot d\). So, \(a_{2}=-8+5=-3\).
02

Title: Calculation of the Third Term

Calculate the third term using the formula: \(a_{3}=a_{1}+(3-1) \cdot d\). So, \(a_{3}=-8+2\cdot 5=2\).
03

Title: Calculation of the Fourth Term

Calculate the fourth term using the formula: \(a_{4}=a_{1}+(4-1) \cdot d\). So, \(a_{4}=-8+3\cdot 5=7\).
04

Title: Calculation of the Fifth Term

Calculate the fifth term using the formula: \(a_{5}=a_{1}+(5-1) \cdot d\). So, \(a_{5}=-8+4\cdot 5=12\).
05

Title: Calculation of the Sixth Term

Calculate the sixth term using the formula: \(a_{6}=a_{1}+(6-1) \cdot d\). So, \(a_{6}=-8+5\cdot 5=17\).

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