11 2 Arithmetic Sequence Geometric and Arithmetic 3

11. 2 Arithmetic Sequence

Geometric and Arithmetic 3, 9, 27, 81, 243 (x 3) In this sequence, you can see that this is not an arithmetic sequence. This is a geometric sequence. An arithmetic sequence is the difference between the numbers adding up or subtracting down. Geometric sequence is when you multiply or divide by a rate. We want the Arithmetic sequence. Arithmetic= (+ or -) Geometric= (x or /)

Adding and Subtracting An Arithmetic sequence is the difference between consecutive terms is constant. The difference is called comma difference. The equation for a recursive formula is A =A +d (A =Previous term) n n-1 Recursive formula sequence: The difference in this sequence is subtracting 2. (-2). The formula for a recursive formula is An=An-1+(-2) 50, 48, 46, 44, 42

Adding and Subtracting Explicit formula= AN= A 1+d(n-1) A 1= First term of the sequence d= Common Difference

Explicit formula You deposit $1000 into the bank. And you choose to deposit $10 every day for the next 2 years. What is the minimum amount of money saved in the 720 days? A 720= 1000+10 (720 -1) A 720= 1000+10 (719) A 720= 1000+ 7190 A 720= $8, 190 saved in 2 years. Explicit formula= AN= A 1+d(n-1)

Completing the Arithmetic Sequence (+3) 6, ? , 12, ? , 18 9 15 Take A 1 and add it with A 3, what the sum is you divide it by two to complete the missing link. (6+12= 18. Then 18/2= 9) (12+18= 30. Then 30/2= 15) When completing the sequence you can find the difference which is difference= d. (D=3)