Answer With sulotion
Answer (2)
Problem 1:How many terms are there in an arithmetic sequence whose first term is -3, common difference is 2, and last term is 23?Given:A₁ = -3d = 2Aₙ = 23Formula:Aₙ = A₁ + (n - 1)dSolution:23 = -3 + (n - 1)(2)23 = -3 + 2(n - 1)23 = -3 + 2n - 223 = 2n - 528 = 2nn = 14Answer: There are 14 terms in the sequence.Problem 2:Find the common difference of the arithmetic sequence with A₁ = 10 and A₅ = 45.Given:A₁ = 10A₅ = 45n = 5Formula:Aₙ = A₁ + (n - 1)dSolution:45 = 10 + (5 - 1)d45 = 10 + 4d35 = 4dd = 35 ÷ 4d = 8.75Answer: The common difference is 8.75.
what is arithmetic of 21 and 33
