Question

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

Answer 1

Answer:

The answer is 34

Step-by-step explanation:

Given;

• a₁ = 310
• a₂ = 304
• a₃ = 298
• n = 47

To Find;

• a₄₇ = ?

Formula;

• 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.