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the sum of the 1st and 2nd term of an application is 4 and 10th term is 19 find the fifth and sixth term
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The term "application" is incorrect and inappropriate in this context.
The correct formulation is THIS :
the sum of the 1st and 2nd term of an ARITHMETIC PROGRESSION is 4 and 10th term is 19. Find the fifth and sixth term
Solution
Arithmetic progression with the first term 1 and the common difference 2.
= 1 + 4*2 = 9; ANSWER
= 1 + 5*2 = 11. ANSWER
Learn on how to write your post correctly (!)
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It was, probably, written "AP" in the text, from which you copied / printed your post, and you mistakenly interpret it as "APPLICATION".
But it was, actually, standard abbreviation for "arithmetic progression", instead - - - for your info.