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### High School Mathematics - 23.12 Find the Term of the Sequence

 Example 1: Find a53 term of the arithmetic sequence with a1 = 5 and a7 = 29. Given: First term = a1 = 5 and Seventh term = a7 = 29 Find: a53 Solution: Using the formula a7 = a1 + 6d 29 = 5 + 6d 24 = 6d d = 4 a53 = a1 + 52.d = 5 + 52.4 = 213 Example 2 Find the number of multiples of 9 between 30 and 901. The first multiple of 9 in the range is 36. a1 = 36 The last multiple of 9 in the range is 900. an = 900 Using the formula: an = a1 + d(n-1) 900 = 36 + 9(n - 1) solving for n 864 = 9n - 9 873 = 9n n = 97 Solution: There are 97 multiples in between 30 and 901 Directions: Answer the following questions. Also write at least 5 examples of your own.

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### High School Mathematics - 23.12 Find the Term of the Sequence

 Q 1: Find the sum of all the multiples of 4 between 1 and 999. 12450010000142000 Q 2: Write the first five terms of the sequence: a1 = 28, ak+1= ak+1 - 4 Answer: Question 3: This question is available to subscribers only! Question 4: This question is available to subscribers only!