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the electric posts along a straight road are 23 m apart. If there are 12 electric posts, whats is the distance from the first post to the lasts post?​

Sagot :

Jerome223idn

Answer:

  • 253m

Step-by-step explanation:

note: this one is the long process/method

  • so first, basically multiply the value of the first post which is 23m to 12 (total number of posts) and from that, we will get 276m.
  • Now, we are told to find the distance between the first post up to the last post.
  • Simply subtract 23 from 276, because we already have the value of 1 of the 12 posts.
  • Lastly, 276 subtracted by 23 is 253.
  • Therefore, the distance from the first post to the last post is 253m.

  • short method: 23×11= 253

*we can also use the formula for the arithmetic sequence: a↓n= a↓1 + (n-1) d

  • a↓n - serves as the last term/general term/nth term
  • a↓1 - is the first term of the given problem or the first value
  • d - is the common difference or the difference of any two consecutive terms in an aritgmetic sequence

  • to express those terms, simply substitute their values

a↓n= a↓1 + (n-1) d

a↓12= 23 + (12-1) 23

*a↓12 because the last term or value that we need to look for is 12.

*23 is the first term and the common difference since it is said that the electric posts along a straight road are 23m apart.

a↓n= a↓1 + (n-1) d

a↓12= 23 + (12-1) 23

a↓12= 23 + (11)(23)

a↓12= 23 + 253

a↓12= 276 - this is the value of the 12th term or 12th post.

*again, since we need to find the distance between the first and last post, we need to subtract the value of the first term by the value of the last term: (276-23 = 253)

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