SOLUTION: the arithmetic series of numbers 1,3,5,7,9,......find the difference between any 2 terms. using the formula for nth term what is the 101 term what is the sum of the first 20

Question 25272: the arithmetic series of numbers 1,3,5,7,9,......find the difference between any 2 terms.
using the formula for nth term what is the 101 term
what is the sum of the first 20 terms.
use the geometric series 1,2,4,8,16.find the ratio between 2 terms.
with the formula for nth of the geo series what is the 24th term.
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
the arithmetic series of numbers 1,3,5,7,9,......find the difference between any 2 terms.
DIFFERENCE =D=3-1=2
using the formula for nth term
TN=A+(N-1)*D...WHERE A=FIRST TERM OF SERIES =1
what is the 101 term
T101=1+(101-1)*2=1+200=201
what is the sum of the first 20 terms.
SN=(N/2){2*A+(N-1)*D}
S20=(20/2){2*1+(20-1)*2}=10*(2+38)=10*40=400
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use the geometric series 1,2,4,8,16.find the ratio between 2 terms.
COMMON RATIO =R = 2/1=2
with the formula for nth of the geo series what is the 24th term.
TN=A*R^(N-1) WHERE A=FIRST TERM OF SERIES =1
T24=1*2^(24-1)=2^23
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