Question

Consider the arithmetic sequence 3 , 13 , 23 , etc.
a) What is its common difference ?
b) Write down the next three terms of this sequence ?
c) Which number is to be added to the first term to get its 11th term ?
d) How many times of the common difference is to be added to the first term to get its 31th term ?
e) What is its 17th term ?​

Answer 1

Step-by-step explanation:

a) common difference = 10

b) 33, 43, 53

c) Using the formula a_n=a+(n-1) d, we get

a_n=103

Therefore the number to be added to the first to get the 11th term is 103-3=100.

d) 30 times, using the formula a+(n-1)d

e) Again using the formula a+(n-1) d, we get

a_17=163.

Answer 2

Answer:

Hope it helps

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