The 6th and the 17th terms of an AP are 21 and 54 respectively . The f

1.	The 6th and the 17th terms of an AP are 21 and 54 respectively . The first term of the AP is _?
Answer» Answer: A6 = 21 a17 = 54 an = a +(n-1) d a6 = a +(6 - 1) d 21 = a+ 5d............ (i) a17 = a + ( 17 - 1)d 54 = a + 16d....(ii) by SUBSTITUTION method, 21 - 5d = a.........(iii) SUBSTITUTE iii in ii 54 = 21 - 5d + 16d 54 - 21 = 11d 33 = 11d d = 3 substitute d in i 21 = a + 5d 21 = a + 53 21 - 15 = a a=6 therefore the first term of the ap is 6* AP : 6,9,12,15....... hope it helps you...

The 6th and the 17th terms of an AP are 21 and 54 respectively . The first term of the AP is _?

Answer»

Answer:

A6 = 21

a17 = 54

an = a +(n-1) d

a6 = a +(6 - 1) d

21 = a+ 5d............ (i)

a17 = a + ( 17 - 1)d

54 = a + 16d....(ii)

by SUBSTITUTION method,

21 - 5d = a.........(iii)

SUBSTITUTE iii in ii

54 = 21 - 5d + 16d

54 - 21 = 11d

33 = 11d

d = 3

substitute d in i

21 = a + 5d

21 = a + 5*3

21 - 15 = a

a=6

therefore the first term of the ap is 6

AP : 6,9,12,15.......

hope it helps you...

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The 6th and the 17th terms of an AP are 21 and 54 respectively . The first term of the AP is _?​

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The 6th and the 17th terms of an AP are 21 and 54 respectively . The first term of the AP is _?