Question

5th term of an arithmetic sequence is 17 and its 10th term is 32 .
a) What is its common difference ?
b) What is its first term ?
c) Find the position of 92 in this sequence ?

Answer 1

Answer:

a) 3, This sequence has a common difference of 3.

b) 6, the first term is 6.

c) 93 is the 37th term.

Step-by-step explanation:

a)  32-17=15  10-5=5  15/5=3

17+3=20(6th) 20+3=23(7th) 23+3=26(8th) 26+3=29(9th) 29+3=32(10th)

b) 17-3=14(4th) 14-3=11(3rd) 11-3=9(2nd) 9-3=6(1st)

c) 32+3=35(11th) 35+3=38(12th) 38+3=41(13th) 41+3=44(14th) 44+3=47(15th) 47+3=50(16th) 50+3=53(17th) 53+3=56(18th) 56+3=59(19th) 59+3=42(20th) 42+3=45(21st) 45+3=48(22nd) 48+3=51(23rd) 51+3=54(24th) 54+3=57(25th) 57+3=60(26th) 60+3=63(27th) 63+3=66(28th) 66+3=69(29th) 69+3=72(30th) 72+3=75(31st) 75+3=78(32nd) 78+3=81(33rd) 81+3=84(34th) 84+3=87(35th) 87+3=90(36th) 90+3=93(37th)

I've checked a couple times, and I don't believe there is a way that 92 can be a term in this sequence.

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