Question

write first term of on A.P. when a) a=10,d=10 b) a=1,d=1/2 c) a=2,d=5​

Answer 1

Answer:

An arithmetic progression is given by a,(a+d),(a+2d),(a+3d), .  

where a= the first term, d= the common difference

(i) 10,10+10,10+2(10) and 10+3(10)=10,20,30 and 40

(ii) −2,−2+(0),−2+2(0) and −2+3(0)=−2,−2,−2 and −2 (this is not an A.P)

(iii) 4,4+(−3),4+2(−3) and 4+3(−3)=4,4−3,4−6 and 4−9=4,1,−2 and −5

(iv)−1,−1+(  

2

1

​  

),−1+2(  

2

1

​  

) and −1+3(  

2

1

​  

)=−1,−  

2

1

​  

,0 and  

2

1

​  

 

(v)−1.25,−1.25+(−0.25),−1.25+2(−0.25) and −1.25+3(−0.25)=−1.25,−1.50,−1.75 and −2.0

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