the first n terms of the progression. The first term and common difference of an arithmetic progression are a and -2. respectively. The sum of the first n terms is equal to the sum of the first 3n terms Express a in terms of n. Hence, show that n = 7 if a = 27.

Factorize: x^2+8x+10 i just solved it but i don't know if the process is correct

If the speed of an electromagnetic wave is 100,000 cm/s and its wavelength is 100 cm, what is its frequency? a) 100,000 cycles per second (hz) b) 1 × 10-3 cycles per second (hz) c) 10,000,000 cycles per second (hz) d) 1,000 cycles per second (hz)

Josh has a rewards card for a movie theater he receives 15 points for becoming a rewards card holder he earns 3.5 points for each visit to the movie theater he needs at least 55 points to earn a free movie ticket which inequality can josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket.