Web3 3 , 6 6 , 12 12 , 24 24 , 48 48 , 96 96 , 192 192 , 384 384 , 768 768 , 1536 1536 , 3072 3072 This is a geometric sequence since there is a common ratio between each term. In … WebWhat is the nth formula for this sequence: 3, 6, 12, 24, 48, ... Advertisement Expert-Verified Answer 23 people found it helpful Brainly User Geometric sequence: an = a₁ (r)ⁿ⁻¹ a₁ = 3 r = 2 The nth Formula: an = 3 (2)ⁿ⁻¹ Example: To find the 5th term, a₅ = 3 (2)⁵⁻¹ a₅ = 3 (2)⁴ a₅ = 3 (16) a₅ = 48 (True) @PrimAndProper Advertisement

Sequences Calculator - Symbolab

Web21 mei 2024 · Explanation: First establish whether it is arithmetic, geometric or neither, d = 24 − 12 = 12 and d = 12 −6 = 6 it is NOT arithmetic because d changes. r = 24 ÷ 12 = 2 and r = 12 ÷ 6 = 2 it is geometric because r is the same. Each term is twice the term before it. The Formula for the general term of a GP is T n = arn−1. Web5 jul. 2024 · Explanation: The nth term of a geometric sequence with first term a1 and common ratio r is given by: an = a1 ⋅ rn−1 In this example: {6,12,24,....} we have a1 = 6 and r = 2 We are asked to find n such that an = 768 ∴ 768 = 6 ×2n−1 2n−1 = 768 6 = 128 = 27 ∴ 2n−1 = 27 Equating indices: n − 1 = 7 n = 8 Hence 768 is the 8th term of the sequence. optus breach medicare

Given The Sequence Formulate A Rule For The Given Sequence

Web31 okt. 2024 · Note: It should be noted that when we divide any subsequent term by its previous term, we get a value equal to the common ratio. Hence the nth term of G.P. is … Web27 jan. 2024 · CALCULATION: Given: 3, 6, 12, 24, ... is a GP. Here, we have a = 3 and r = 2. As we know that, if a is the first term and r is the common ratio of a GP. Then the general term of a GP is given by: a n = a r n − 1. ⇒ a 9 = 3 × 2 … WebN th term of an arithmetic or geometric sequence. The main purpose of this calculator is to find expression for the n th term of a given sequence. Also, it can identify if the … portsmouth \\u0026 southsea kennel association