in an ap 10th term is 21 and sum of the first 10 term is 120 then find the n term of the arthematic progression
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Answer:
a10 = 21
S10 = 120
an = a1+(n-1)d
a10 = a1+ad
a1+ad= 21 ------ -(1)
Sn = n/2 [ 2a1+(n-1)d]
S10 = 10/2[2a1+ad]
120 = 5[2a1 + ad ]
24 = 2a1+ad =24-----------(2)
Subtracting (1) From (2)
2a1+ad = 24
a1 + ad = 21
- - = 3
d= 21-a1/a
21-3/9
18/9 = 2
n term of the arthematic progression
an =a1(n-1)d
= 3+(n-1)2
= 3+2n-2
= 1+2n
Hence are calculated here
Step-by-step explanation:
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manpreet kaur peper
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