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Soloha48 [4]
3 years ago
9

Need help with knowing how to do this

Mathematics
1 answer:
sp2606 [1]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

(a)

The common difference (d) in an arithmetic sequence is

d = a_{2} - a_{1} = 24 - 2 = 22

To obtain the next term in the sequence add 22 to the previous term

a_{4} = 46 + 22 = 68

a_{5} = 68 + 22 = 90

a_{6} = 90 + 22 = 112

--------------------------------------------------

(b)

The n th term of an arithmetic sequence is

a_{n} = a + (n - 1)d

where a is the first term and d the common difference

here a = 2 and d = 22, hence

a_{n} = 2 + 22(n - 1) = 2 + 22n - 22 = 22n - 20 ← n th term formula

---------------------------------------------------------------------

(c)

Using the n th term formula

a_{35} = (22 × 35) - 20 = 770 - 20 = 750

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