Question

Is 51 a term of the A.P 5,8,11,14,..... Explain plz​

Answer 1

Answer:

if 5,8,11,14, is an integer so then 51 + 5*8*11*14÷51

46754789,hence answer

51,. 454535/verefied

Answer 2

Step-by-step explanation:

To Find :

• we have to find that 51 is a term of given AP or not.

Solution :

• Given AP :- 5, 8, 11 ,14 ....

As we know that,

$\large\dag\boxed { \blue{\underline{\bf{a_n = a + (n -1)d}}}}$

where

• a = First term
• d = Common difference
• an = nth term
• n = number of terms

an = 51

d = a2 - a1

• a2 = 8
• a1 = 5

d = 8 - 5

d = 3

51 = 5 + (n - 1)3

51 - 5 = (n - 1)3

46 = (n - 1)3

46/3 = (n - 1)

46/3 + 1 = n

(46 + 3)/3 = n

49/3 = n

$\large\dag \large { \purple{\underline{\bf{Hence }}}}$

$\green{\textrm{n is in Fraction so , 51 is not a term of AP}}$

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