Find the sum of the first 50 common terms of 12,16,20,... and 18,24,30,....
Answers
Answered by
89
In The AP 12,16,20 And 18,24,30
24,36,48 are common terms
Sn=n/2{ 2a +(n-1)d}
n=50
Sn=?
d=36-24=12
a=24
Sn=50/2{ 2*24+(50-1)12}
Sn=25(48+49*12)
Sn=25(636)
Sn=15900
Answered by
2
Answer:
15900.
Step-by-step explanation:
Given,
Arithmetic Progressions:
12, 16, 20,.... and 18, 24, 30,...
We see that:
24,36,48 are common terms
Using the Formula:
Sn=n/2{ 2a +(n-1)d}
n=50
To Find,
Sum of first 50 common terms.
d=36-24=12
a=24
Sn=50/2{ 2*24+(50-1)12}
Sn=25(48+49*12)
Sn=25(636)
Sn=15900
Hence, the answer is 15900.
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