Share
Find the sum of the first 20 terms of the sequence 2,8,14,20
Question
Find the sum of the first 20 terms of the sequence 2,8,14,20
in progress
0
Mathematics
5 years
2021-08-31T10:19:38+00:00
2021-08-31T10:19:38+00:00 1 Answers
11 views
0
Answers ( )
Answer:
S20=230
Step-by-step explanation:
2,8,14,20
first determine whether it is arithmetic progression or geometric sequence.
Common difference (d) = second term – first term
D=T2-T1 D=T3-T2
D=8-2 D=14-8
D=6 D=6
COMMON RATIO= T2/T1
r=T2/T1 r=T3/T2
r=8/2 r=14/8
r=4 r=7/4
therefore, we can conclude that this is AP since we have the same common differences in the sequence
Sn=n/2[2a+(n-1)].
where,
a=first term
n=number of terms
S20=20/2[2*2+(20-1)]
S20=10(4+19)
S20=10(23)
S20=230