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Determine the next three terms in the arithmetic sequence.

912, 864, 816, 768,720

670,620,570
620,520,420
672,624,576
675,630,585

User Terjetyl
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1 Answer

2 votes

For any arithmetic sequence aₙ₊₁ = aₙ + d

912, 864, 816, 768, 720

864 - 912 = -48 = d

so the next three terms:

720 + (-48) = 672

672 + (-48) = 624

624 + (-48) = 576

670, 620, 570 ⇒ 620 - 670 = -50 = d

so the next three terms:

570 + (-50) = 520

520 + (-50) = 470

470 + (-50) = 420

620, 520, 420 ⇒ 520 - 620 = -100 = d

so the next three terms:

420 + (-100) = 320

320 + (-100) = 220

220 + (-100) = 120

672, 624, 576 ⇒ 624 - 672 = -48 = d

so the next three terms:

576 + (-48) = 528

528 + (-48) = 480

480 + (-48) = 432

675, 630, 585 ⇒ 630 - 675 = -45 = d

so the next three terms:

585 + (-45) = 540

540 + (-45) = 495

495 + (-45) = 450

User Guilty
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