In the 8

In the A. P. 36, 39, 42, …, which term is 276?

Correct answer:

n =  81

Step-by-step explanation:

a1=36 a2=39  d=a2−a1=39−36=3  x=276  x=a1+(n−1)⋅ d  n=(x−a1)/d+1=(276−36)/3+1=81

Try another example


We will be pleased if You send us any improvements to this math problem. Thank you!



avatar




You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • The raw
    statistics The raw data presented here are the scores (out of 100 marks) of a market survey regarding the acceptability of new product launched by a company for random sample of 50 respondents: 40 45 41 45 45 30 30 8 48 25 26 9 23 24 26 29 8 40 41 42 39 35 18 25 35
  • Arithmetic progression 2
    seq_sum The 3rd term of an Arithmetic progression is ten more than the first term, while the fifth term is 15 more than the second term. Find the sum of the 8th and 15th terms of the Arithmetic progression if the 7th term is seven times the first term.
  • Common difference
    apollo The 4th term of an arithmetic progression is 6. If the sum of the 8th and 9th term is -72, find the common difference.
  • Missing term
    seq What is the missing term in the sequence? _____, 13, 30, and 47?
  • Find d 2
    lines Find d in an A. P. whose 5th term is 18 and 39th term is 120.
  • Here is
    calc Here is a data set (n=117) that has been sorted. 10.4 12.2 14.3 15.3 17.1 17.8 18 18.6 19.1 19.9 19.9 20.3 20.6 20.7 20.7 21.2 21.3 22 22.1 22.3 22.8 23 23 23.1 23.5 24.1 24.1 24.4 24.5 24.8 24.9 25.4 25.4 25.5 25.7 25.9 26 26.1 26.2 26.7 26.8 27.5 27.6 2
  • Geometric progressiob
    eq2 If the sum of four consective terms of geometric progression is 80 and arithmetic mean of second and fourth term is 30 then find terms?
  • Remainders
    dividing It is given a set of numbers { 170; 244; 299; 333; 351; 391; 423; 644 }. Divide this numbers by number 66 and determine set of remainders. As result write sum of this remainders.
  • HP - harmonic progression 2
    seq Compute the 16th term of the HP if the 6th and 11th term of the harmonic progression are 10 and 18 respectively.
  • Bricks pyramid
    The_Great_Pyramid How many 50cm x 32cm x 30cm brick needed to built a 272m x 272m x 278m pyramid?
  • What is 10
    numbers2_4 What is the 5th term, if the 8th term is 80 and common ratio r =1/2?
  • The pond
    rybnik_3 We can see the pond at an angle 65°37'. Its end points are 155 m and 177 m away from the observer. What is the width of the pond?
  • Missing term 2
    seq What is the missing term for the Geometric Progression (GP) 3, 15, 75,__, 1875?
  • Chess
    sachovnica How many ways can select 4 fields on a classic chessboard with 64 fields so that fields don't have the same color?
  • Triangles
    triangles_6 Find out whether given sizes of the angles can be interior angles of a triangle: a) 23°10',84°30',72°20' b) 90°,41°33',48°37' c) 14°51',90°,75°49' d) 58°58',59°59',60°3'
  • Insert into GP
    archimedes_1 Between numbers 5 and 640, insert as many numbers to form geometric progression so the sum of the numbers you entered will be 630. How many numbers must you insert?
  • HP - harmonic progression
    sequence_geo_1 Determine the 8th term of the harmonic progression 2, 4/3, 1,…