Solution to 2024 MTAP Elimination Round Grade 10 | MTAP Review | Part 1

Here's the solution to Nos. 1 - 10 of the 2024 MMC Elimination Round for #grade10 students.
1. Find the common difference of the arithmetic sequence -11, -4, 3, …
2. Determine the 51st term of the arithmetic sequence 5, 2, -1, -4, -7, …
3. If 𝑎_𝑛=−1/8+3𝑛, find 𝑎_5.
4. Express the nonterminating repeating decimal 0.212121… as a fraction in lowest terms.
5. How many multiples of 7 are there between 10 and 1000?
6. Suppose that -3, a, b, c, -243 is a geometric sequence with negative common ratio. Find the value of a + b.
7. Find the sum of the infinite geometric series 3/4+9/16+27/64+ …
8. Find the sum of the first 10 terms of the geometric series 5/2+(−5)+10+(−20)+ …
9. What is the 11th term in the harmonic sequence −3/4, −3, 3/2, …?
10. What is the sum of the coefficients in the expansion of (𝑥+𝑦−𝑧)^6

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