In an arithemetic sequence 5th term 23 and 9th term is 39 find common difference and 14th term

In an arithemetic sequence 5th term 23 and 9th term is 39 find common difference and 14th term

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  1. Answer:

    59

    Step-by-step explanation:

    Let the first team be a ;

    and the common difference be r;

    therefore 2nd term = a + r =[tex]a{2}[/tex];

    a3= a+ 2r;

    a4= a+3r;

    a5= a+ 4r= 23;

    a9 = a+8r = 39;

    solving these two equations= r= 4; a= 23- 4r=23-16=7

    therefore a14= a+ 13r= 7+ 13*4=7+52= 59

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