questions on this page provided/found at · 3. 4. 5. 6. For how many bounces do both balls bounce...
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1 Infinite Geometric Series Infinite Geometric: S= a 1 where if |r| > 1 then the infinite geo series Series Formula 1r does NOT have a sum. What do each of the following represent? S:_____________________________ a 1 :____________________________ r:_____________________________ When does an infinite geometric series not have a sum?______________________ You can use Boolean logic to test |r| < 1 Steps: MATH Num #1Abs Type in the value of r close ) 2nd MATH #5 < Type in 1 Enter If calc says 1 = True or 0 = False If true use the S= formula to find the sum; if false then no sum can be found EX: For each of the following geometric series, give the values of a 1 and r. Then state whether the sum of the series exists. If it does exist find it. 1. 2 +2 +2 +.... a 1 :________ r:________ Does it exist?________ 3 9 27 2. 2 1 + ½ - ¼ + .... a 1 :________ r:________ Does it exist?________ ∞ 3. Ʃ 2(3) n a 1 :________ r:________ Does it exist?________ n =1 *** so a 1 is the number w/o the n exponent and r is the number with the n exponent!!!!!
Transcript of questions on this page provided/found at · 3. 4. 5. 6. For how many bounces do both balls bounce...
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Infinite Geometric Series
Infinite Geometric: S = a 1 where if |r| > 1 then the infinite geo seriesSeries Formula 1 r does NOT have a sum.
What do each of the following represent?S:_____________________________a1:____________________________r:_____________________________
When does an infinite geometric series not have a sum?______________________
You can use Boolean logic to test |r| < 1 Steps: MATH Num #1AbsType in the value of r close )2nd MATH #5 <Type in 1Enter
If calc says 1 = True or 0 = False
If true use the S= formula to find the sum; if false then no sum can be found
EX: For each of the following geometric series, give the values of a1 and r. Then state whether the sum of the series exists. If it does exist find it.
1. 2 + 2 + 2 +.... a1:________ r:________ Does it exist?________ 3 9 27
2. 2 1 + ½ - ¼ + .... a1:________ r:________ Does it exist?________
∞3. Ʃ 2(3)n a1:________ r:________ Does it exist?________
n =1
*** so a1 is the number w/o the n exponent and r is the number with the n exponent!!!!!
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questions on this page provided/found at: www.doe.virginia.gov/testing/solsearch/sol/math/AII/m_ess_a22.pdf
