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vitfil [10]
3 years ago
13

Determine the indicated term in the following arithmetic sequences.

Mathematics
1 answer:
Dahasolnce [82]3 years ago
5 0

Answer:

a_5= 14

a_{20}= 80

a_{18}= 340

Step-by-step explanation:

Solving (a):

We have:

a_1=2 --- first term

d = 5 -2 = 3 common difference

The 5h term is:

a_n= a_1 + (n - 1)d

a_5= 2+ (5 - 1)*3

a_5= 14

Solving (b):

We have:

a_1 = 4 --- first term

d = 8 -4 = 4 common difference

The 20h term is:

a_n= a_1 + (n - 1)d

a_{20}= 4+ (20 - 1)*4

a_{20}= 80

Solving (c):

We have:

a_1 = 0 --- first term

d = 20 -0 = 20 common difference

The 18th term is:

a_n= a_1 + (n - 1)d

a_{18}= 0+ (18 - 1)*20

a_{18}= 340

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