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Plz give me answers in marathi translation |
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Answer» Answer: Your input 0.8,1.2,1.6,2 appears to be an arithmetic sequence Find the difference between the members a2-a1=1.2-0.8=0.4 a3-a2=1.6-1.2=0.4 a4-a3=2-1.6=0.4 The difference between every two adjacent members of the series is constant and equal to 0.4 General Form: an=a1+(n-1)d an=0.8+(n-1)0.4 a1=0.8 (this is the 1ST member) an=2 (this is the last/nth member) d=0.4 (this is the difference between consecutive members) n=4 (this is the number of members) Sum of finite series members The sum of the members of a finite arithmetic progression is called an arithmetic series. Using our EXAMPLE, consider the sum: 0.8+1.2+1.6+2 This sum can be found QUICKLY by taking the number n of terms being added (here 4), multiplying by the sum of the first and last number in the progression (here 0.8 + 2 = 2.8), and dividing by 2: n(a1+an)2 4(0.8+2) 2 The sum of the 4 members of this series is 5.6 This series corresponds to the following straight line y=0.4x+0.8 Finding the nthelement a1 =a1+(n-1)*d =0.8+(1-1)*0.4 =0.8 a2 =a1+(n-1)*d =0.8+(2-1)*0.4 =1.2 a3 =a1+(n-1)*d =0.8+(3-1)*0.4 =1.6 a4 =a1+(n-1)*d =0.8+(4-1)*0.4 =2 a5 =a1+(n-1)*d =0.8+(5-1)*0.4 =2.4 a6 =a1+(n-1)*d =0.8+(6-1)*0.4 =2.8 a7 =a1+(n-1)*d =0.8+(7-1)*0.4 =3.2 a8 =a1+(n-1)*d =0.8+(8-1)*0.4 =3.6 a9 =a1+(n-1)*d =0.8+(9-1)*0.4 =4 a10 =a1+(n-1)*d =0.8+(10-1)*0.4 =4.4 a11 =a1+(n-1)*d =0.8+(11-1)*0.4 =4.8 a12 =a1+(n-1)*d =0.8+(12-1)*0.4 =5.2 a13 =a1+(n-1)*d =0.8+(13-1)*0.4 =5.6 a14 =a1+(n-1)*d =0.8+(14-1)*0.4 =6 a15 =a1+(n-1)*d =0.8+(15-1)*0.4 =6.4 a16 =a1+(n-1)*d =0.8+(16-1)*0.4 =6.8 a17 =a1+(n-1)*d =0.8+(17-1)*0.4 =7.2 a18 =a1+(n-1)*d =0.8+(18-1)*0.4 =7.6 a19 =a1+(n-1)*d =0.8+(19-1)*0.4 =8 a20 =a1+(n-1)*d =0.8+(20-1)*0.4 =8.4 a21 =a1+(n-1)*d =0.8+(21-1)*0.4 =8.8 a22 =a1+(n-1)*d =0.8+(22-1)*0.4 =9.2 a23 =a1+(n-1)*d =0.8+(23-1)*0.4 =9.6 a24 =a1+(n-1)*d =0.8+(24-1)*0.4 =10 a25 =a1+(n-1)*d =0.8+(25-1)*0.4 =10.4 a26 =a1+(n-1)*d =0.8+(26-1)*0.4 =10.8 a27 =a1+(n-1)*d =0.8+(27-1)*0.4 =11.2 a28 =a1+(n-1)*d =0.8+(28-1)*0.4 =11.6 a29 =a1+(n-1)*d =0.8+(29-1)*0.4 =12 Sorry It's in English don't know to answer in marathi |
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