What is the answer for this? Anybody please help mo for this.
Answer (1)
Answer:Given:1st row = 10 seatsEach next row adds 2 more seatsSo, the number of seats increases like: 10, 12, 14, 16, ... arithmetic sequenceFirst term (a) = 10Common difference (d) = 2a) How many seats are there in the 25th row?Use the formula: Tₙ = a + (n - 1)d Substitute the values:a = 10d = 2n = 25 T₂₅ = 10 + (25 - 1)(2) = 10 + 48 = 58 seatsTherefore, the answer is 58 seats in the 25th rowb) If there are 26 rows, how many total seats in the auditorium?Formula:Sn = 2/n (a+Tn )Find the last term (Tₙ) first:n = 26a = 10T26 =10+(26−1)×2=10+50=60Now substitute into the sum formula:26= 26/2 (10+60)26=13×70=910Answer: There are 910 total seats in the auditorium.2. The ball starts at 16 feet.After each bounce, it goes up to 75% of the previous height.So were going to multiply by 0.75 every time.After 1st bounce=16×0.75=12feetAfter 2nd bounce=12×0.75=9feetAfter 3rd bounce=9×0.75=6.75feetanswer: 6.75 feet
