In an Arithmetic Progression:
an = a1 + ( n - 1 ) d
where
a1 = the initial term
d = the common difference of successive members
an = the nth term
In your A.P:
9 , x , y , z , 25
a1 = 9
a5 = a1 + 4 d = 9 + 4 d = 25
4 d = 25 - 9
4 d = 16
d = 16 / 4
d = 4
Now:
x = a2 = a1 + d = 9 + 4 = 13
y = a3 = a1 + 2 d = 9 + 2 ∙ 4 = 9 + 8 = 17
z = a4 = a1 + 3 d = 9 + 3 ∙ 4 = 9 + 12 = 21
a60 = a1 + 59 d
a60 = 9 + 59 ∙ 4 = 9 + 236 = 245
The following is an A.P 9,x,y,z,25 find (a)the values of x,y,z (b)60 term
8 answers
The full workings
This answer is correct because i have cross-chack my textbook.
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The answer is on the way but I compuse too. I need more explanation please.
245
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