# Problem solving about sequences

An object is dropped from a jet plane and falls 32 feet during the first second. For eachsucceeding second, it falls 40 feet more that the distance covered in the precedingsecond. How far has it fallen after 11 seconds? 1 = 32 . =132 . =232 + 40 = 72 . =3112 . = 40 . = 11 . = 1 + − 1 11 = 32 + 11 − 1 40 11 = 32 + (10)(40) 11 = 32 + 400 = 11? ? ? . 11 = 432 .Therefore, the object has fallen432 feet after 11 seconds.Joan started a new job with an annual salary of P150,000 in 2007. If she receives aP12,000 raise each year, how much will her annual salary be in 2017?2007 = 1 1150,0002008 = 2 2 162,0002008 = 3 3 174,000 = 12,000 = 1 + − 1 11 = 150,000 + 11 − 1 12,000 11 = 150,000 + 10 12,000 11 = 150,000 + 120,0002017 = 11 11 ? ? ? , ? ? ? 11 = 270,000Therefore, Joan’s annual salary in 2017 will be P270,000.Rico bought a machine worth P29,000. If it depreciates in value by P500 each year,what will be its value at the end of 10 years? 1 = 29,000 − 500 = 28,500 = 1 + − 1 = −500 10 = 28,500 + 10 − 1 (−500) = 10 10 = 28,500 + (9)(−500) 10 = 28,500 + (−4500) 10 = 24,000Therefore, its value after 10 years will be P24, 000.A sari-sari store sell … Purchase document to see full attachment

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