Home
Class 12
MATHS
The fifth term of an arithmetic sequence...

The fifth term of an arithmetic sequence is 26, and the eighth term is 41. what is the first term?

A

3

B

4

C

5

D

6

Text Solution

Verified by Experts

The correct Answer is:
D
There are three constant differences between the fifth and eighth terms. Since 41-26=15, the constant difference is 5. the fifth term, 26, is four constant differences (20) more than the first term. Therefore, the first term is 26-20=6.
Promotional Banner

Topper's Solved these Questions

  • COUNTING

    ENGLISH SAT|Exercise EXERCISE|10 Videos

  • ELEMENTARY ALGEBRA

    ENGLISH SAT|Exercise EXERCISE|12 Videos

Similar Questions

Explore conceptually related problems

The third term of ann arithmetic sequence is 15, and the seventh term is 23. what is the first term?

The first term in an arithmetic sequence is -5 and the second term is -3. what is the 50th term? (Recall that in an arithmetic sequence, the difference between successive terms is constant).

The sum of the first 25 terms of an arithmetic sequence is 1,400, and the 25th term is 104. If the first term of the sequence is a_(1) and the second term is a_(2) , what is the value of a_(2)-a_(1) ?

The seventh term of an arithmetic sequence is 5 and the twelfth term -15. The first term of this sequence is

If the first term in a geometric sequence is 3, and if the third term is 48, what is the 11th term ?

Find the 28th term of the arithmetic sequence 2, 5, 8, ….

A finite arithmetic sequence has 7 terms, and the first term is 3/4 . What is the difference between the mean and the median of the 7 terms?

The third term of an arithmetical progression is 7, and the seventh term is 2 more than 3 times the third term. Find the first term, the common difference and the sum of the first 20 terms.

If the first term in an arithmetic series is 3 and the last term is 136, and the sum is 1390, what are the first four terms ?

Let S be the sum of the first n terms of the arithmetic sequence 3, 7, 11, ...., and let T be the sum of the first n terms of the arithmetic sequence 8 , 10 , 12 ,.... For n gt 1 , S = T for

ENGLISH SAT-DIAGNOSTIC TEST -MCQs (EXERCISE)
  1. In the figure above, S is the set of all points in the shaded region. ...

    Text Solution

    |

  2. If a square prism is inscribed in a right circular cylinder of radius ...

    Text Solution

    |

  3. What is the length of the major axis of the ellipse whose equation is ...

    Text Solution

    |

  4. The fifth term of an arithmetic sequence is 26, and the eighth term is...

    Text Solution

    |

  5. What is the measure of one of the larger angles of the parallelogram a...

    Text Solution

    |

  6. If cosx=-0.25, then cos(pi-x)=

    Text Solution

    |

  7. The parametric equation of a line are x=3-t and y=1+t. the slope of th...

    Text Solution

    |

  8. If f(x)=2x^(2)-4 and g(x)=2^(x), the value of g(f(1)) is

    Text Solution

    |

  9. If f(x)=3sqrt(5x), what is the value of f^(-1)(15)?

    Text Solution

    |

  10. If 2sin^(2)x-3=3 cosx and 90^(@) lt x lt 270^(@), the number of values...

    Text Solution

    |

  11. Thirty percent of the 20 people in the math club have blonde hair. If ...

    Text Solution

    |

  12. Text Solution

    |

  13. Observers at locations due north and due south of a rocket launchpad s...

    Text Solution

    |

  14. The vertex angle of an isosceles triangle is 35^(@). The length of the...

    Text Solution

    |

  15. If the graph below represents the function y=f(x), which of the follow...

    Text Solution

    |

  16. If kgt4 is a constant, how would you translate the graph of y=x^(2) to...

    Text Solution

    |

  17. If f(x)=log(6)x and f(2)=0.231, the value of b is

    Text Solution

    |

  18. If a(n+1)=a(n-1)+2a(n) for n=2,3,4, . . . and a(1)=1 and a(2)=1, then ...

    Text Solution

    |

  19. Suppose costheta=u in 0 lt theta lt (pi)/(2). Then tantheta=

    Text Solution

    |

  20. A certain component of an electronic device has a probability of 0.1 o...

    Text Solution

    |