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Aim: What are geometric sequences and series?

Aim: What are geometric sequences and series?. Find the sum of. Do Now:. a 1 = 4(0.3) 1 = 1.2. r = 0.3. n = 12.  1.714. The Sum of a Infinite Geometric Sequence. Find the sum of. a 1 = 4(0.3) 1 = 1.2. r = 0.3. n = 12. = ?. Find. The Sum of a Infinite Geometric Sequence.

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Aim: What are geometric sequences and series?

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  1. Aim: What are geometric sequences and series? Find the sum of Do Now: a1 = 4(0.3)1 = 1.2 r = 0.3 n = 12  1.714

  2. The Sum of a Infinite Geometric Sequence Find the sum of a1 = 4(0.3)1 = 1.2 r = 0.3 n = 12 = ?

  3. Find The Sum of a Infinite Geometric Sequence If |r| < 1, then the infinite geometric sequence a1,a1r2, a1r3,a1r4, . . . . a1rn - 1 . . . has the sum = 4 + 4(0.6) + 4(0.6)2 + 4(0.6)3 + . . a1 = 4 and r = 0.6 - (|r| < 1)

  4. Model Problem Find the sum of 3 + 0.3 + 0.03 + 0.003 + . . . a1 = 3 and r = ? 0.1 3 + 3(0.1) + 3(0.1)2 + 3(0.1)3 + . . .

  5. Model Problems Find the sum of the series. 160 + 80 + 40 + . . . , n = 6 Find the sum of the infinite series. 160 + 80 + 40 + . . . .

  6. Model Problems Find the sum of the geometric series.

  7. Model Problems Express the series in sigma notation and find the sum. 54 + 18 + 6 + 2 + 2/3 + 2/9

  8. Model Problems Find a1. Sn = -55, r = -2/3, n = 5

  9. Model Problems Find the nth term of the geometric sequence. a2 = -18; a5= 2/3; n = 6

  10. Aim: What are geometric sequences? Do Now: Find the nth term of the geometric sequence. a2 = -18; a5= 2/3; n = 6

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