sum of 1st 10 terms of an arithmetic sequence is 350 and the sum of 1st 5 terms is 100 .find 1st term ,common difference,algebra form of the sequence
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a= -100
d=50
AP=-100,-50,0,50,100,150.......
d=50
AP=-100,-50,0,50,100,150.......
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S10 = 5(a+9d)
350 = 5(a+9d)
a+9d = 70 ....(i)
S5 = 5/2 (a+4d)
100 = 5/2 (a+4d)
a+4d = 40. ....(ii)
subtracting both the equations, we get
5d = 30
d = 6
putting it in (ii) eq., we get
a+24 = 40
a = 16
therefore the A.P.
16, 22, 28, .....
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350 = 5(a+9d)
a+9d = 70 ....(i)
S5 = 5/2 (a+4d)
100 = 5/2 (a+4d)
a+4d = 40. ....(ii)
subtracting both the equations, we get
5d = 30
d = 6
putting it in (ii) eq., we get
a+24 = 40
a = 16
therefore the A.P.
16, 22, 28, .....
Plzzz mark as brainliest
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