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TEST III. Use the nth term of an arithmetic sequence $a_n = a_1 + (n-1)d$ to answer the following questions. 1. Find the 25$^{th}$ term of the arithmetic sequence 3, 7, 11, 15, 19,... 2. Find the 9$^{th}$ term of the arithmetic sequence with $a_1 = 10$ and $d = -1/2$ 3. Find $a_1$, if $a_8 = 54$ and $a_9 = 60$ 4. The second term of an arithmetic sequence is 24 and the fifth term is 3. Find the first term and the common difference.

          TEST III. Use the nth term of an arithmetic sequence $a_n = a_1 + (n-1)d$ to answer the following questions.
1. Find the 25$^{th}$ term of the arithmetic sequence 3, 7, 11, 15, 19,...
2. Find the 9$^{th}$ term of the arithmetic sequence with $a_1 = 10$ and $d = -1/2$
3. Find $a_1$, if $a_8 = 54$ and $a_9 = 60$
4. The second term of an arithmetic sequence is 24 and the fifth term is 3. Find the first term and the common difference.

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TEST III. Use the nth term of an arithmetic sequence an = a1 + (n-1)d to answer the following questions.
1. Find the 25^th term of the arithmetic sequence 3, 7, 11, 15, 19,...
2. Find the 9^th term of the arithmetic sequence with a1 = 10 and d = -1/2
3. Find a1, if a8 = 54 and a9 = 60
4. The second term of an arithmetic sequence is 24 and the fifth term is 3. Find the first term and the common difference.

Added by Alfredo J.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Rebecca Belvin

09/06/2023

Step 1

.. To find the common difference, subtract the first term from the second term (or any consecutive terms): d = 7 - 3 = 4 Now, we can use the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d We want to find the 25th term (n = 25), so we Show more…

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TEST III. Use the nth term of an arithmetic sequence an = a1 + (n-1)d to answer the following questions. 1. Find the 25th term of the arithmetic sequence 3, 7, 11, 15, 19,... 2. Find the 9th term of the arithmetic sequence with a1 = 10 and d = -1/2. 3. Find a1, if a8 = 54 and a9 = 60. 4. The second term of an arithmetic sequence is 24 and the fifth term is 3. Find the first term and the common difference.

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