Q1 of 176 Page 8

Find the indicated terms in each of the following arithmetic progression:

1, 6, 11, 16, ..., t16,

Given: 1, 6, 11, 16, …


Here, a = 1


d = a2 – a1 = 6 – 1 = 5


and n = 16


We have,


tn = a + (n – 1)d


So, t16 = 1 + (16 – 1)5


= 1 + 15×5


t16 = 1 +75


t16 = 76


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7

In which of the following situations does the list of numbers involved arithmetic progression, and why?

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 7

In which of the following situations does the list of numbers involved arithmetic progression, and why?

The values of an investment after 1, 2, 3, 4, ... years if after each subsequent year it increases by 5/4 times the initial investment.

 1

Find the indicated terms in each of the following arithmetic progression:

a = 3, d = 2; ; tn, t10

 1

Find the indicated terms in each of the following arithmetic progression:

— 3, — 1/2, 2, ... ; t10,