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Illusion [34]
2 years ago
15

310, 304, 298, ... Find the 47th term.

Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
3 0

Answer:

The answer is 34

Step-by-step explanation:

<h3><u>Given</u>;</h3>
  • a₁ = 310
  • a₂ = 304
  • a₃ = 298
  • n = 47
<h3><u>To </u><u>Find</u>;</h3>
  • a₄₇ = ?
<h3><u>Formula</u>;</h3>
  • aₙ = a + (n – 1) × d

Now,

Common Difference (d)

d = a₂ – a₁ = 304 – 310 = -6

d = a₃ – a₂ = 298 – 304 = -6

Here, common difference is same everywhere

So,

aₙ = a + (n – 1) × d

a₄₇ = 310 + (47 – 1) × (-6)

a₄₇ = 310 + 46 × (-6)

a₄₇ = 310 – 276

a₄₇ = 34

Thus, The 47th term of this sequence is 34.

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