21–42. Geometric series Evaluate each geometric series or state that it diverges.  


25.∑ (k = 0 to ∞) 0.9ᵏ

9–15. Geometric sums Evaluate each geometric sum.

{Use of Tech}∑ k = 0 to 9(−3/4)ᵏ

21–42. Geometric series Evaluate each geometric series or state that it diverges.  

21.∑ (k = 0 to ∞) (1/4)ᵏ

21–42. Geometric series Evaluate each geometric series or state that it diverges.  

23.∑ (k = 0 to ∞) (–9/10)ᵏ

21–42. Geometric series Evaluate each geometric series or state that it diverges.  

27.1 + 1.01 + 1.01² + 1.01³ + ⋯

21–42. Geometric series Evaluate each geometric series or state that it diverges.  

29.∑ (k = 1 to ∞) e^(–2k)

21–42. Geometric series Evaluate each geometric series or state that it diverges.  

31.∑ (k = 1 to ∞) 2^(–3k)

21–42. Geometric series Evaluate each geometric series or state that it diverges.  

33.∑ (k = 4 to ∞) 1 / 5ᵏ