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Arithmetic Sequence and Series Quiz

1. Find the sum of the arithmetic series: 3, 7, 11, ..., 39.












2. In an arithmetic series, the first term is 5 and the common difference is 3. Find the 15th term.












3. The sum of an arithmetic series is 165. If the first term is 10 and the common difference is 7, how many terms are in the series?












4. Find the sum of all the integers between 50 and 150 that are divisible by 4.












5. The sum of the first 10 terms of an arithmetic series is 245. If the common difference is 5, find the first term.












6. Find the 30th term of an arithmetic series if the first term is 8 and the common difference is -2.












7. The sum of an arithmetic series is 48. If the first term is -2 and the common difference is 4, find the number of terms in the series.












8. Find the sum of the arithmetic series: 2.5, 5, 7.5, ..., 20.












9.The 10th term of an arithmetic series is 25, and the 20th term is 55. Find the sum of the first 20 terms.












10. The sum of the first 12 terms of an arithmetic series is 234. If the common difference is -2, find the first term.














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