11SL Final Review – Algebra

May 29th, 2015
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1. The second and fifth terms of an arithmetic sequence are 40 and 121 respectively. a. Find the first term and common difference of the sequence. b. Find the sum of the first 25 terms

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11SL Final Review Algebra Arithmetic Sequences and Series1. The second and fifth terms of an arithmetic sequence are 40 and 121 respectively. a. Find the first term and common difference of the sequence.b. Find the sum of the first 25 terms 2. The first three terms of an arithmetic sequence are a. Find the value of the constant b. Find the 16th term of the sequencec. Find the sum of the first 20 terms3. a. State the formula for the sum of the first natural numbers.b. Find the sum of the natural numbers from 200 to 400 inclusivec. Find the value of for which the sum of the first natural numbers is 49504. a. Find the sum of the integers between 1 and 500 that are divisible by 3.b. Evaluate 5. An arithmetic series has first term 6 and common difference 3.a. Find the 20th term of the series.b. Given that the sum of the first terms of the series is 270, find the value of .6. Toms parents decide to pay him an allowance each month beginning on his 12th birthday. The allowance is to be 40 for each of the first three months, 42 for each of the next three months and so on, increasing by 2 per month after each three month period.a. Find the total amount that Tom will receive in allowances before his 14th birthday.b. Show that the total amount, in pounds, that Tom will receive in allowances in the years after his 12th birthday, where is a positive integer, is given by .7. The first three terms of an arithmetic sequence are , w

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