|
The common difference. Find: For the following sequence: 9, 13, 17, 21, ... The rule for the nth term. an = The indicated term. a38 = The next three terms. in simplified form: (like an = 5+4n) Arithmetic Sequences & Series , add4 add4 , add4 Finding "the rule":an = a1 + (n-1)•dan = 9 + (n-1)•4 9 + 4n - 4an = 5 + 4n this is simplified form Finding a38:a38 = 5 + 4•(38)a38 = 5 + 152a38 = 157 The common difference. Find: For the following sequence: 18, 16, 14, 12, ... The rule for the nth term. an = The indicated term. a25 = The next three terms. in simplified form: (like an = 5+4n) Arithmetic Sequences & Series , sub2 sub2 , sub2 Finding "the rule":an = a1 + (n-1)•dan = 18 + (n-1)•-2 18 - 2n + 2an = 20 - 2n this is simplified form Finding a25:a25 = 20 - 2•(25)a25 = 20 - 50a25 = -30 The common difference. Find: For the following sequence: 1, 7, 13, 19, ... The rule for the nth term. an = The indicated term. a28 = The next three terms. in simplified form: (like an = 5+4n) Arithmetic Sequences & Series , , Finding "the rule":an = a1 + (n-1)•d The common difference. Find: For the following sequence: −13, −11, −9, −7, ... The rule for the nth term. an = The indicated term. a40 = The next three terms. in simplified form: (like an = 5+4n) Arithmetic Sequences & Series , , Finding "the rule":an = a1 + (n-1)•d The common difference. Find: For the following sequence: 11, 15, 19, 23, ... The rule for the nth term. an = The indicated term. a40 = The next three terms. in simplified form: (like an = 5+4n) Arithmetic Sequences & Series , , Finding "the rule":an = a1 + (n-1)•d The common difference. Find: For the following sequence: 6, −2, −10, −18, ... The rule for the nth term. an = The indicated term. a29 = The next three terms. in simplified form: (like an = 5+4n) Arithmetic Sequences & Series , , Finding "the rule":an = a1 + (n-1)•d The rule for the nth term. an = Given: A term in an arithmetic sequence and the common difference. a17 = 57, d = 3 Find: The next three terms. Write the rule in simplified form:an = a1 + (n-1)•dan = 9 + (n-1)•3 in simplified form: (like an = 5+4n) Arithmetic Sequences & Series an = 9 + 3n - 3 an = 6 + 3n , , Finding "the rule":an = a1 + (n-1)•dFind a1 first a17 = a1 + (n-1)•d 57 = a1 + (17-1)•3 57 = a1 + (16)•3 57 = a1 + 48-48 - 48 9 = a1 The rule for the nth term. an = Given: A term in an arithmetic sequence and the common difference. a14 = -136, d = -8 Find: The next three terms. Write the rule in simplified form:an = a1 + (n-1)•dan = -32 + (n-1)•-8 in simplified form: (like an = 5+4n) Arithmetic Sequences & Series an = -32 - 8n + 8an = -24 - 8n , , Finding "the rule":an = a1 + (n-1)•dFind a1 first a14 = a1 + (n-1)•d-136 = a1 + (14-1)•-8-136 = a1 + (13)•-8-136 = a1 - 104+104 +104 -32 = a1 The rule for the nth term. an = Given: A term in an arithmetic sequence and the common difference. a15 = 272, d = 20 Find: The next three terms. in simplified form: (like an = 5+4n) Arithmetic Sequences & Series , , The rule for the nth term. an = Given: A term in an arithmetic sequence and the common difference. a34 = 26, d = 2 Find: The next three terms. in simplified form: (like an = 5+4n) Arithmetic Sequences & Series , , The rule for the nth term. an = Given: A term in an arithmetic sequence and the common difference. a26 = -66, d = -4 Find: The next three terms. in simplified form: (like an = 5+4n) Arithmetic Sequences & Series , , Find a10 = Identify a1: Find the sum if the first "n" terms of the indicated series. 4 + 8 + 12 + 16... n = 10 Use the sum formula to find the sum. = Arithmetic Sequences & Series 10•(4+40) 2 = 440 2 = 220 Finding "an":a10 = a1 + (n-1)•da10 = 4 + (10-1)•4 4 + (9)•4a10 = 40 Find a12 = Identify a1: Find the sum if the first "n" terms of the indicated series. 25 + 34 + 43 + 52... n = 12 Use the sum formula to find the sum. Arithmetic Sequences & Series Finding "an":an = a1 + (n-1)•d Find a1 = Find a10 = Use the sum formula to find the sum. Find the sum of the series using summation notation. Arithmetic Sequences & Series This is an. Use it to find a1 & a10. Finding "a1":an = 2i + 4a1 = 2(1) + 4 = 6 Finding "a10":an = 2i + 4a10 = 2(10) + 4 = 24 Find a1 = Find a7 = Use the sum formula to find the sum. Find the sum of the series using summation notation. Arithmetic Sequences & Series This is an. Use it to find a1 & a7. |