Find the sum of the first 22 terms of the arithmetic sequence, the first term is - 2 and the common difference is -5.

The sum of the first 22 terms of the sequence is -1199.

Step-by-step explanation:

Arithmetic sequence:

The general term of a arithmetic sequence is given by:

In which is the first term and r is the common difference.

The sum of the first n terms of a arithmetic sequence is given by:

First term is - 2 and the common difference is -5.

This means that

Sum of the first 22 terms

In which

So

The sum of the first 22 terms of the sequence is -1199.

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

stop cheating

step-by-step explanation: