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In an A. P. The first …

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In an A. P. The first term is 2 and the sum of the first five terms is one fourth of the next five terms. Show that 20th term is _112.

    • Posted by Deepak Yadav 7 years, 8 months ago

    CBSE > Class 11 > Mathematics
    • 1 answers

    Ayush Verma 7 years, 8 months ago

    a=2 ,,,,,,, S5 = 1/4 [s10-s5] 5/2 [ 4 + 4d ] =1/4 [ 5 (4 +9d) - 5/2 ( 4+ 4d )] 20+ 20d =1/2 [ 20+45d - 10+10d] 40+40d =35d +10 5d =-30 d= -6 Now a20 =a+19d a20 =2+19×-6 a20 =2+(-114) a20 = -113 Hence prove

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