1) An arithmetic sequence has a its 5h term equal to 22 and its 15th term equal to 62. Find its 100th term. 2) Find the sum of the arithmetic series 4, 9, 14..., 124. 3) The first term of an arithmetic sequence is equal to 154 and the common difference is equal to -8. Find the value of the 20h term. 4) Find the sum of all positive integers, from 5 to 1555 inclusive, that are divisible by 5. 5) Find the 13th term of the arithmetic sequence 3x -11, -6, -3x -1, -6x + 4.
1) An arithmetic sequence has a its 5h term equal to 22 and its 15th term equal to 62. Find its 100th term. 2) Find the sum of the arithmetic series 4, 9, 14..., 124. 3) The first term of an arithmetic sequence is equal to 154 and the common difference is equal to -8. Find the value of the 20h term. 4) Find the sum of all positive integers, from 5 to 1555 inclusive, that are divisible by 5. 5) Find the 13th term of the arithmetic sequence 3x -11, -6, -3x -1, -6x + 4.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Answer the following arithmetic series and arithmetic sequence problems.
Present all the necessary solutions.
1) An arithmetic sequence has a its 5th term equal to 22 and its 15th term equal to 62.
Find its 100th term.
2) Find the sum of the arithmetic series 4, 9, 14., 124.
3) The first term of an arithmetic sequence is equal to 154 and the common difference
is equal to -8. Find the value of the 20th term.
4) Find the sum of all positive integers, from 5 to 1555 inclusive, that are divisible by
5.
5) Find the 13th term of the arithmetic sequence 3x -11, -6, -3x -1, -6x + 4.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd00b7a09-27d6-46aa-be25-6e018e2ef100%2Fd3873b57-602c-4e0b-99ab-c79870a924f7%2Fg96oni_processed.png&w=3840&q=75)
Transcribed Image Text:Answer the following arithmetic series and arithmetic sequence problems.
Present all the necessary solutions.
1) An arithmetic sequence has a its 5th term equal to 22 and its 15th term equal to 62.
Find its 100th term.
2) Find the sum of the arithmetic series 4, 9, 14., 124.
3) The first term of an arithmetic sequence is equal to 154 and the common difference
is equal to -8. Find the value of the 20th term.
4) Find the sum of all positive integers, from 5 to 1555 inclusive, that are divisible by
5.
5) Find the 13th term of the arithmetic sequence 3x -11, -6, -3x -1, -6x + 4.
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