the first term of a general progression is 50,the fourth term is 1350,find its fifth term
mysticd:
general progression means
i think it is geometric progression
yes you are right
typing mistake
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let the first term in GP = a
a= 50 (given ) ---(1)
general form of nth term in GP = an = a r^n-1
a4 = 1350
ar³ =1350
⇒50*r³ = 1350 [from (1)]
⇒ r³ = 1350/50
⇒r³ = 27
⇒r³ = 3³
∴r=3
now
fifth term in Gp = a5 = ar^4 = 50 * (3) ^4 = 50 *81 = 4050
a= 50 (given ) ---(1)
general form of nth term in GP = an = a r^n-1
a4 = 1350
ar³ =1350
⇒50*r³ = 1350 [from (1)]
⇒ r³ = 1350/50
⇒r³ = 27
⇒r³ = 3³
∴r=3
now
fifth term in Gp = a5 = ar^4 = 50 * (3) ^4 = 50 *81 = 4050
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