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Gennadij [26K]
3 years ago
8

STD 10

Mathematics
1 answer:
OLga [1]3 years ago
5 0

Answer:

False

Step-by-step explanation:

Given

6 , 12 , 18 , 24 , .......... , 284

Required

Determine if it is an AP or not

First, calculate the common difference (d)

d = 24 - 18=6

d = 18 - 12=6

d = 12 - 6=6

Next, is to determine if the last term is valid using:

T_n  = a + (n - 1) d

So, we have:

284 = 6 + (n - 1) * 6

284 = 6 + 6n - 6

Collect like terms

284 = 6 - 6+ 6n

284 = 6n

Divide by 6

284/6 = n

n = 284/6

n = 47.33

<em>The value of n must be a positive whole number. Hence, it is not an AP</em>

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