The multiplier is (1/4) or .25
Answer:
<u>The sequence is</u>
- 1, 1 + 2, 1 + 2 + 3, 1 + 2 + 3 + 4, ...
Each term is the sum of the consecutive numbers from 1 to that number.
<u>The nth term is the sum of the first n numbers:</u>
- aₙ = 1 + 2 + 3 + ... + n
- aₙ = 1/2n(1 + n) (formula for sum of the n terms of arithmetic progression with the first term of 1 and common difference of 1)
- aₙ = n(n + 1)/2
1) The number of circles in the nth pile is n(n + 1)/2
2) When n tends to infinity the number of circles tends to infinity
Answer:
Step-by-step explanation:
a. P(Z > 1.12) = 1-N(1.12) = 1-0.8686431=0.1313569
b. <em>P(Z S-2.35)</em> => P(Z <= 2.35) = 0.009386706
(please check interpretation of question b)
c. <em>POSZ s 1.34)</em> => P(0 <= Z <= 1.34) = 0.9098773 - 0.5 = 0.4098773
(please check interpretation of question c)
d. P(-0.8 sz s 2.44) => P(-0.8 <= 2.44) = 0.9926564 - 0.2118554 = 0.780801
(please check interpretation of question d)