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CBSE Class 10 Answered

3 7      11 15    19    23 27    31    35    39   Write next two lines Find first and last no of the 15th line Which term of the sequence is the last number of the  15th row of the above pattern  
Asked by gpnkumar0 | 18 Feb, 2018, 08:05: PM
answered-by-expert Expert Answer
begin mathsize 16px style We space observe space that space there space is space straight a space difference space of space 4 space between space two space successive space numbers. Also comma First space row equals 1 space number Second space row equals 2 space numbers Third space row equals 3 space numbers space and space so space on Thus comma space the space next space two space lines space are straight i. straight e. comma space 5 th space row colon space 43 space space 47 space space 51 space space 55 space space 59 space space space space space space space space 6 th space row colon space 63 space space 67 space space 71 space space 75 space space 79 space space 83 Now comma space total space numbers space upto space 15 th space row equals fraction numerator 15 cross times left parenthesis 15 plus 1 right parenthesis over denominator 2 end fraction equals fraction numerator 15 cross times 16 over denominator 2 end fraction equals 120 Thus comma space last space term space of space 15 th space row equals straight a subscript 120 equals 3 plus 119 cross times 4 equals 479 Ans comma space first space term space of space 15 th space row equals left parenthesis 120 minus 14 right parenthesis to the power of th space term equals straight a subscript 106 space equals 3 plus 105 cross times 4 equals 423 end style
Answered by Rashmi Khot | 19 Feb, 2018, 10:43: AM

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